# How do you solve the equation 3x -4(x-2)=12?

Nov 11, 2016

$x = - 4$

#### Explanation:

Step 1) Expand the terms in parenthesis:

$3 x - 4 x + 8 = 12$

Step 2) Combine like terms on each side of the equation

$\left(3 - 4\right) x + 8 = 12$

$- 1 x + 8 = 12$

Step 2) Solve for $x$ while keeping the equation balanced

$- 1 x + 8 - 8 = 12 - 8$

$- 1 x = 4$

$\frac{- 1 x}{-} 1 = \frac{4}{-} 1$

$x = - 4$