Solve the equation for x. Make sure to show work..

Question

12+3x=6x−4(x−5)

Answer 1

Let's start by simplifying both sides of the equation.

On the right side of the equation, we distribute the -4 to both terms inside the parentheses:
6x - 4(x-5) = 6x - 4x + 20

Now we can rewrite the equation as:
12 + 3x = 6x - 4x + 20

Combine like terms on the right side:
12 + 3x = 2x + 20

Subtract 2x from both sides of the equation to isolate the variable on one side:
12 + x = 20

Subtract 12 from both sides of the equation:
x = 20 - 12

Simplifying the right side gives us the solution:
x = 8