Question

5(x - 6) + 2 = 7x - 8
what is x

Answer 1

5(x-6)=7x-8-2
5(x-6)=7x-10
5x-6*5=7x-10
5x-30=7x-10
5x-7x=-10+30
-2x=20
x=20/-2
x=-10

Answer 2

x = -10

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties

• Distributive

Explanation:

Step 1: Define equation

5(x - 6) + 2 = 7x - 8

Step 2: Solve for x

1. Distribute 5: 5x - 30 + 2 = 7x - 8
2. Subtract 5x on both sides: -30 + 2 = 2x - 8
3. Add: -28 = 2x - 8
4. Add 8 on both sides: -20 = 2x
5. Divide 2 on both sides: -10 = x
6. Rewrite: x = -10

Step 3: Check

Plug in x to verify it's a solution.

1. Substitute: 5(-10 - 6) + 2 = 7(-10) - 8
2. Subtract: 5(-16) + 2 = 7(-10) - 8
3. Multiply: -80 + 2 = -70 - 8
4. Add/Subtract: -78 = -78