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

User Eshanel
by
2.9k points

1 Answer

9 votes
9 votes

Answer:

x = 8

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 =
(40)/(5)

Divide 40 by 5 to get 8.

x = 8

User Yogeshwar Singh
by
3.1k points