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

12+3x=6x−4(x−5)

1 answer

To solve the equation, we will first simplify both sides of the equation:

12 + 3x = 6x - 4(x-5)

Distribute the -4:

12 + 3x = 6x - 4x + 20

Combine like terms:

12 + 3x = 2x + 20

Now, we want to isolate the variable x. We can start by subtracting 2x from both sides:

12 + 3x - 2x = 2x + 20 - 2x

Combine like terms:

12 + x = 20

Next, we can subtract 12 from both sides:

12 + x - 12 = 20 - 12

Simplify:

x = 8

Therefore, the solution to the equation is x = 8.
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