Question

How do I solve this
-7(3 - 2x) = 5(2x - 7)

Answer 1

x = -7/2

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define equation

-7(3 - 2x) = 5(2x - 7)

Step 2: Solve for x

1. Distribute: -21 + 14x = 10x - 35
2. Subtract 10x on both sides: -21 + 4x = -35
3. Add 21 on both sides: 4x = -14
4. Divide both sides by 4: x = -7/2

Step 3: Check

Plug in x to verify it's a solution.

1. Substitute: -7(3 - 2(-7/2)) = 5(2(-7/2) - 7)
2. Multiply: -7(3 + 7) = 5(-7 - 7)
3. Add/Subtract: -7(10) = 5(-14)
4. Multiply: -70 = -70

-70 does indeed equal -70. Therefore x = -7/2 is a solution.

And we have our final answer!