# How do you solve \frac { 7} { 5} ( x - 2) = - \frac { 14} { 5}?

##### 1 Answer
Nov 4, 2016

$x = 0$

#### Explanation:

Step 1) Multiple each side of the equation by $5$ to eliminate the fraction which will make the problem easier to work with and keep the equation balance.
Step 2) Expand the terms in parenthesis
Step 3) Solve for $x$ while keeping the equation balanced

$5 \left(\frac{7}{5}\right) \left(x - 2\right) = 5 \left(- \frac{14}{5}\right)$

$7 \left(x - 2\right) = - 14$

$7 x - 14 = - 14$

$7 x - 14 + 14 = - 14 + 14$

$7 x - 0 = 0$

$7 x = 0$

$7 \frac{x}{7} = \frac{0}{7}$

$x = 0$