solve for x to determine if the equation has one, none, or infinite solutions 5 (2x+2)-4=2x+6

Answer 1

To determine if the equation 5(2x+2)-4 = 2x+6 has one, none, or infinite solutions, we need to solve for x.

First, distribute the 5 on the left side:
10x + 10 - 4 = 2x + 6

Combine like terms:
10x + 6 = 2x + 6

Subtract 2x from both sides:
8x + 6 = 6

Subtract 6 from both sides:
8x = 0

Divide by 8:
x = 0

Since we have found a single value for x, the equation has only one solution.