Question

38 + 7x = 8(x + 4)
multi step equation

Answer 1

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Step-by-step explanation:

Step 1: Define equation

38 + 7x = 8(x + 4)

Step 2: Solve for x

1. Distribute 8:                              38 + 7x = 8x + 32
2. Subtract 7x on both sides:       38 = x + 32
3. Subtract 32 on both sides:      6 = x
4. Rewrite:                                     x = 6

Step 3: Check

Plug in x to verify it's a solution.

1. Substitute:                    38 + 7(6) = 8(6 + 4)
2. Add:                              38 + 7(6) = 8(10)
3. Multiply:                        38 + 42 = 80
4. Add:                              80 = 80

Here, 80 does indeed equal to 80. ∴ x = 6 is a solution.

And we have our final answer!