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Questions and Answers
What is the solution for the equation $3x - 7 = 8$?
What is the solution for the equation $3x - 7 = 8$?
x = 5
What is the solution for the equation $-3x - 7 = 8$?
What is the solution for the equation $-3x - 7 = 8$?
x = -5
What is the solution for the equation $6x + 2 = -1$?
What is the solution for the equation $6x + 2 = -1$?
x = -1/2
What is the solution for the equation $-4x + 6 = 34$?
What is the solution for the equation $-4x + 6 = 34$?
What is the solution for the equation $-4x - 6 = 34$?
What is the solution for the equation $-4x - 6 = 34$?
What is the solution for the equation $4x + 6 = 34$?
What is the solution for the equation $4x + 6 = 34$?
What is the solution for the equation $4x - 6 = 34$?
What is the solution for the equation $4x - 6 = 34$?
What is the solution for the equation $-43 = 7 - 5x$?
What is the solution for the equation $-43 = 7 - 5x$?
What is the solution for the equation $-43 = 7 + 5x$?
What is the solution for the equation $-43 = 7 + 5x$?
What is the solution for the equation $-40 = 8 - 8x$?
What is the solution for the equation $-40 = 8 - 8x$?
What is the solution for the equation $-4x - 1 = 15$?
What is the solution for the equation $-4x - 1 = 15$?
What is the solution for the equation $\frac{x}{5} + 3 = 10$?
What is the solution for the equation $\frac{x}{5} + 3 = 10$?
What is the solution for the equation $-\frac{x}{2} - 8 = 3$?
What is the solution for the equation $-\frac{x}{2} - 8 = 3$?
What is the solution for the equation $\frac{x}{7} + 14 = 3$?
What is the solution for the equation $\frac{x}{7} + 14 = 3$?
What is the solution for the equation $7 - x = 5$?
What is the solution for the equation $7 - x = 5$?
What is the solution for the equation $-5 - x = 4$?
What is the solution for the equation $-5 - x = 4$?
What is the solution for the equation $-3x - 5 = 7$?
What is the solution for the equation $-3x - 5 = 7$?
What is the solution for the equation $6x + 16 = -20$?
What is the solution for the equation $6x + 16 = -20$?
What is the solution for the equation $\frac{x}{7} - 5 = -6$?
What is the solution for the equation $\frac{x}{7} - 5 = -6$?
What is the solution for the equation $-6x + 2 = 14$?
What is the solution for the equation $-6x + 2 = 14$?
What is the solution for the equation $-3x - 7 = 8$?
What is the solution for the equation $-3x - 7 = 8$?
What is the solution for the equation $9 - x = 14$?
What is the solution for the equation $9 - x = 14$?
What is the solution for the equation $-\frac{x}{3} - 5 = 1$?
What is the solution for the equation $-\frac{x}{3} - 5 = 1$?
What is the solution for the equation $-\frac{x}{2} + 12 = -10$?
What is the solution for the equation $-\frac{x}{2} + 12 = -10$?
What is the solution for the equation $-\frac{2}{3}x + 4 = 8$?
What is the solution for the equation $-\frac{2}{3}x + 4 = 8$?
What is the solution for the equation $-\frac{1}{2}x - 3 = -4$?
What is the solution for the equation $-\frac{1}{2}x - 3 = -4$?
What is the solution for the equation $\frac{4}{5}x + 5 = 17$?
What is the solution for the equation $\frac{4}{5}x + 5 = 17$?
What is the solution for the equation $-\frac{4}{5}x + 5 = 17$?
What is the solution for the equation $-\frac{4}{5}x + 5 = 17$?
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Study Notes
Two-Step Equations Overview
- Two-step equations typically involve isolating the variable through two operations: addition/subtraction followed by multiplication/division.
Key Examples of Equations and Solutions
- Equation: 3x - 7 = 8
- Solution:* x = 5
- Equation: -3x - 7 = 8
- Solution:* x = -5
- Equation: 6x + 2 = -1
- Solution:* x = -1/2
- Equation: -4x + 6 = 34
- Solution:* x = -7
- Equation: -4x - 6 = 34
- Solution:* x = -10
- Equation: 4x + 6 = 34
- Solution:* x = 7
- Equation: 4x - 6 = 34
- Solution:* x = 10
- Equation: -43 = 7 - 5x
- Solution:* x = 10
- Equation: -43 = 7 + 5x
- Solution:* x = -10
- Equation: -40 = 8 - 8x
- Solution:* x = 6
Additional Variations of Equations
- Equation: -4x - 1 = 15
- Solution:* x = -4
- Equation: x/5 + 3 = 10
- Solution:* x = 35
- Equation: -x/2 - 8 = 3
- Solution:* x = -22
- Equation: x/7 + 14 = 3
- Solution:* x = -77
- Equation: 7 - x = 5
- Solution:* x = 2
- Equation: -5 - x = 4
- Solution:* x = -9
- Equation: -3x - 5 = 7
- Solution:* x = -4
- Equation: 6x + 16 = -20
- Solution:* x = -6
- Equation: x/7 - 5 = -6
- Solution:* x = -7
- Equation: -6x + 2 = 14
- Solution:* x = -2
Final Group of Equations
- Equation: -3x - 7 = 8
- Solution:* x = -5
- Equation: 9 - x = 14
- Solution:* x = -5
- Equation: -x/3 - 5 = 1
- Solution:* x = -18
- Equation: -x/2 + 12 = -10
- Solution:* x = 44
- Equation: -2/3x + 4 = 8
- Solution:* x = -6
- Equation: -1/2x - 3 = -4
- Solution:* x = 2
- Equation: 4/5x + 5 = 17
- Solution:* x = 15
- Equation: -4/5x + 5 = 17
- Solution:* x = -15
Summary of Techniques
- Isolate the variable in two steps: first eliminate constants, then coefficient.
- Solutions can vary significantly based on the sign and coefficients of x.
- Forms include single-variable equations with positive/negative terms and fractions.
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