# How do you solve 4- 7x + 11x = - 2( - 3x + 1)?

Mar 5, 2018

$x = 3$

#### Explanation:

1. Use the distributive property and combine like terms
$4 + 4 x = 6 x - 2$

2. Subtract 4x from both sides
$4 = 2 x - 2$

3. Solve for x
$4 = 2 \left(3\right) - 2$
$4 = 6 - 2$
$4 = 4$
$x = 3$

Now that we know what x is, we can substitute for x in the original equation to check our answer
$4 - 7 \left(3\right) + 11 \left(3\right) = - 2 \left(- 3 \left(3\right) + 1\right)$
$4 - 21 + 33 = - 2 \left(- 9 + 1\right)$
$16 = 18 - 2$
$16 = 16$ (correct)