# How do you solve 7+3x=5?

Oct 25, 2017

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

#### Explanation:

$7 + 3 x = 5$

So the end goal is to find the value of $x$. First we want to isolate $x$. In this case we do thi by subtracting $7$ on both sides of the equation. Because what we do to one side of an equation, we do to the other side as well. Then simplify.
$7 - 7 + 3 x = 5 - 7$
$3 x = - 2$

After simplifying, we want to divide both sides of the equation by $3$ so that we get the variable by itself.
$\frac{3}{3} x = - \frac{2}{3}$
$x = - \frac{2}{3}$

Oct 25, 2017

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

#### Explanation:

Given -

$7 + 3 x = 5$

Add $- 7$ to both sides

$7 + 3 x - 7 = 5 - 7$

$\cancel{7} + 3 x \cancel{- 7} = - 2$

Divide both sides by $3$

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

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

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