# How do you solve -2(2-2x)+2x=20?

Nov 23, 2016

$x = 4$

#### Explanation:

Step 1) Expand the term within the parenthesis:

$\left(- 2 \cdot 2\right) + \left(- 2 \cdot - 2 x\right) + 2 x = 20$

$- 4 + 4 x + 2 x = 20$

Step 2) Combine like terms:

$- 4 + 6 x = 20$

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

$- 4 + 6 x + 4 = 20 + 4$

$6 x = 24$

$\frac{6 x}{6} = \frac{24}{6}$

$x = 4$