# How do you solve -7x+3=-15/2?

Apr 26, 2018

$x = \frac{3}{2}$

#### Explanation:

First, rearrange the equation so that the variables are on one side and constant is on the other side.

$- 7 x = - \frac{15}{2} - 3$

Now work on one side at a time, so first solve for $- \frac{15}{2} - 3$

$- \frac{15}{2} - \frac{6}{2}$

That would give $- \frac{21}{2}$

Therefore we now have, $- 7 x = - \frac{21}{2}$

Now divide both sides by -7

$- 7 \frac{x}{-} 7 = - \frac{21}{2} / - 7$ The -7 would cancel out and give a positive one.

$x = - \frac{21}{2} / - 7$

Therefore, $x = \frac{21}{14}$ which can be simplified to $x = \frac{3}{2}$