Question

What is the solution to the equation? 5(8 + 7) = 5•x + 5•7

Answer 1

Answer:

x = 8

Step-by-step explanation:

5( 8 + 7 ) = 5 ⋅ x + 5 ⋅ 7

Add 8 and 7 to get 15.

5 × 15 = 5x + 5 × 7

Multiply 5 and 15 to get 75.

75 = 5x + 5 × 7

Multiply 5 and 7 to get 35.

75 = 5x + 35

Swap sides so that all variable terms are on the left-hand side.

5x + 35 = 75

Subtract 35 from both sides.

5x = 75 − 35

Subtract 35 from 75 to get 40.

5x = 40

Divide both sides by 5.

x = $\frac{40}{5}$

Divide 40 by 5 to get 8.

x = 8