Solve the following equation: 2x−31=3(x+2) 2 − 31 = 3 ( + 2 ) (1 point) Responses 37 37 37 −37 − 37 negative 37 5 5 5 375 37 5

Answer 1

To solve the equation 2x-31=3(x+2), we will begin by distributing the 3 on the right side of the equation.

2x-31=3(x+2)
2x-31=3x+6

Next, we will combine like terms on the right side of the equation by subtracting 2x from both sides.

-31=3x-2x+6

Simplifying further, we have:

-31=x+6

To isolate x, we will subtract 6 from both sides of the equation.

-31-6=x+6-6
-37=x

Therefore, x=-37 is the solution to the equation 2x-31=3(x+2).