Question

Solve. 7x−6=8+5x Enter your answer in the box. x =

Answer 1

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

49-6=8+35

43=43

43

Answer 2

x = 7

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define equation

7x - 6 = 8 + 5x

Step 2: Solve for x

1. Subtract 5x on both sides: 2x - 6 = 8
2. Add 6 to both sides: 2x = 14
3. Divide 2 on both sides: x = 7

Step 3: Check

Plug in x into the original equation to verify it's a solution.

1. Substitute in x: 7(7) - 6 = 8 + 5(7)
2. Multiply: 49 - 6 = 8 + 35
3. Subtract/Add: 43 = 43

Here we see that 43 does indeed equal 43.

∴ x = 7 is a solution of the equation.