Solve the equation for x. Make sure to show work. 12+3x=6x−4(x−5)

Answer 1

To solve the equation 12 + 3x = 6x - 4(x - 5), we need to simplify both sides of the equation and isolate the variable x.

First, we will distribute the -4 to the terms inside the brackets:
12 + 3x = 6x - 4x + 20

Next, we combine like terms:
12 + 3x = 2x + 20

To isolate the variable x, we need to get rid of the constant terms on the right side of the equation. We can do this by subtracting 2x from both sides:
12 +3x - 2x = 2x + 20 - 2x
12 + x = 20

Now, we can isolate x by subtracting 12 from both sides:
12 + x - 12 = 20 - 12
x = 8

Therefore, the solution to the equation 12 + 3x = 6x - 4(x - 5) is x = 8.