Solve for x

Question

to determine if the equation has one, none, or infinite solutions.
3(2x+2)−4=−2x+10

Answer 1

First, distribute the 3 on the left side of the equation:

6x + 6 - 4 = -2x + 10

Combine like terms:

6x + 2 = -2x + 10

Add 2x to both sides:

8x + 2 = 10

Subtract 2 from both sides:

8x = 8

Divide by 8:

x = 1

Since there is a unique solution for x, the equation has one solution.