Answer:
x = -7/2
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
Step 1: Define equation
-7(3 - 2x) = 5(2x - 7)
Step 2: Solve for x
- Distribute: -21 + 14x = 10x - 35
- Subtract 10x on both sides: -21 + 4x = -35
- Add 21 on both sides: 4x = -14
- Divide both sides by 4: x = -7/2
Step 3: Check
Plug in x to verify it's a solution.
- Substitute: -7(3 - 2(-7/2)) = 5(2(-7/2) - 7)
- Multiply: -7(3 + 7) = 5(-7 - 7)
- Add/Subtract: -7(10) = 5(-14)
- Multiply: -70 = -70
-70 does indeed equal -70. Therefore x = -7/2 is a solution.
And we have our final answer!
