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Questions and Answers
What is the first step in solving the equation $\frac{2x + 20}{4} + x - 5 = 6$?
What is the first step in solving the equation $\frac{2x + 20}{4} + x - 5 = 6$?
- Multiply all terms by 4 to eliminate the fraction. (correct)
- Subtract 'x' from both sides of the equation.
- Combine the 'x' terms: 2x + x
- Add 5 to both sides of the equation.
After multiplying the equation $\frac{2x + 20}{4} + x - 5 = 6$ by 4, what is the resulting equation?
After multiplying the equation $\frac{2x + 20}{4} + x - 5 = 6$ by 4, what is the resulting equation?
- $2x + 5 + 4x - 20 = 24$
- $2x + 20 + x - 5 = 24$
- $2x + 20 + 4x - 5 = 6$
- $2x + 20 + 4x - 20 = 24$ (correct)
In the simplified equation $6x = 24$, what operation is required to isolate 'x'?
In the simplified equation $6x = 24$, what operation is required to isolate 'x'?
- Subtract 6 from both sides of the equation.
- Multiply both sides of the equation by 6.
- Add 6 to both sides of the equation.
- Divide both sides of the equation by 6. (correct)
What is the value of 'x' in the equation $\frac{2x + 20}{4} + x - 5 = 6$?
What is the value of 'x' in the equation $\frac{2x + 20}{4} + x - 5 = 6$?
What is the result of combining like terms in the equation $(2x + 20) + 4x - 20 = 24$?
What is the result of combining like terms in the equation $(2x + 20) + 4x - 20 = 24$?
Which operation is used to eliminate the fraction in the equation $\frac{2x + 20}{4} + x - 5 = 6$?
Which operation is used to eliminate the fraction in the equation $\frac{2x + 20}{4} + x - 5 = 6$?
If the equation is transformed from $\frac{2x + 20}{4} + x - 5 = 6$ to $6x = 24$, what operations were performed?
If the equation is transformed from $\frac{2x + 20}{4} + x - 5 = 6$ to $6x = 24$, what operations were performed?
What is the simplified form of the equation $(2x + 20) + 4x - 20 = 24$?
What is the simplified form of the equation $(2x + 20) + 4x - 20 = 24$?
What is the value of x if $6x=24$?
What is the value of x if $6x=24$?
In the original equation $\frac{2x + 20}{4} + x - 5 = 6$, after substituting $x = 4$, what is the value of the left side of the equation?
In the original equation $\frac{2x + 20}{4} + x - 5 = 6$, after substituting $x = 4$, what is the value of the left side of the equation?
Flashcards
Solving for 'x'
Solving for 'x'
To isolate 'x', perform inverse operations to both sides of the equation to maintain equality and simplify until 'x' is by itself.
Eliminating Fractions
Eliminating Fractions
Multiply all terms in the equation by 4. This eliminates the fraction and simplifies the equation, maintaining balance.
Combine Like Terms
Combine Like Terms
Combine '2x' and '4x' to get '6x'. The '+20' and '-20' cancel each other out, simplifying the equation to '6x = 24'.
Isolating 'x' by Division
Isolating 'x' by Division
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Solution for 'x'
Solution for 'x'
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Study Notes
- The problem is an algebraic equation to be solved for the variable 'x', which is (2x + 20) / 4 + x - 5 = 6.
Solving the Equation
- The original equation is: (2x + 20) / 4 + x - 5 = 6
- Multiply all terms by 4: 4 * [(2x + 20) / 4] + 4 * x - 4 * 5 = 4 * 6, eliminating the fraction.
- The simplified equation becomes: (2x + 20) + 4x - 20 = 24
- Combining like terms (2x and 4x, 20 and -20) results in: 6x + 0 = 24
- Further simplification: 6x = 24
- Divide both sides by 6 to isolate x: x = 24 / 6
- The solution to the equation is: x = 4
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