Understand the Problem
The content in the image pertains to mathematical equations and step-by-step solutions. It appears to focus on algebraic expressions and possibly solving for variables following specific mathematical procedures.
Answer
The solutions for the equations are: $$ x_1 = \frac{-27}{2}, \quad x_2 = \frac{-32}{3} $$
Answer for screen readers
The solutions for the equations are: $$ x_1 = \frac{-27}{2}, \quad x_2 = \frac{-32}{3} $$
Steps to Solve
- Extract the relevant equations from the image
Identify the equations mentioned in the image. The first equation appears to be: $$ 2x + 12 = 5 - 20 $$
- Simplify the first equation
Rearranging the first equation: $$ 2x + 12 = -15 $$ Subtract 12 from both sides: $$ 2x = -15 - 12 $$ Thus: $$ 2x = -27 $$
- Solve for x
Divide both sides by 2: $$ x = \frac{-27}{2} $$
- Proceed to the next equation
The next equation is: $$ 3x + 12 = -20 $$ Rearranging gives: $$ 3x = -20 - 12 $$ So: $$ 3x = -32 $$
- Solve for x again
Divide both sides by 3: $$ x = \frac{-32}{3} $$
- Check for additional equations
Continue similar steps for any remaining equations in the notebook.
The solutions for the equations are: $$ x_1 = \frac{-27}{2}, \quad x_2 = \frac{-32}{3} $$
More Information
These values are solutions derived from simple linear equations found within the content. Each equation can represent different scenarios or applications in algebra, such as finding unknown variables in word problems, physics applications, etc.
Tips
- Misplacing negative signs: It's essential to keep track of negative signs during subtraction.
- Incorrect division: Ensure proper division is applied when solving for the variable.
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