Solve for x to determine if the equation has one, none, or infinite solutions.

Question

3(2x+2)−4=−2x+10

Answer 1

To solve this equation, we will first distribute the 3 to the terms inside the parentheses:

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

Next, combine like terms:

6x + 2 = -2x + 10

Now, let's isolate the x term:

6x + 2x = 10 - 2

Simplifying further:

8x = 8

To solve for x, we will divide both sides of the equation by 8:

x = 1

Therefore, the equation has one solution, which is x = 1.