Question

Which is a reasonable first step that can be used to solve the equation 2(x + 6) = 3(x - 4) + 5? a Combine like terms, 3 and 5, on the right side of the equation. b Distribute 2 to x on the left side of the equation and 3 to x on the right of the equation. c Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side. d Distribute 2 to (x + 6) and 3 to (x - 4)

Answer 1

d Distribute 2 to (x + 6) and 3 to (x - 4)

Explanation:

2(x + 6) = 3(x - 4) + 5

First open the brackets using distributive property

2x + 12 = 2x - 12 + 5

Answer 2

Distribute 2 to (x + 6) and 3 to (x - 4)

Explanation:

2(x + 6) = 3(x - 4) + 5

First we need to distribute the 2 and the 3 to the terms inside the parentheses

Then we combine like terms

Then get the variables on one side and the constants on the other