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

Jun 2, 2017

$x = 3$

#### Explanation:

$7 x = 2 x + 15$

We can move $2 x$ to the other side, changing it from positive to negative.

$7 x - 2 x = 15$

$5 x = 15$

Now we can work backwards. The last thing that happened to $x$ is that it was multiplied by $5$ to get to $15$, so in working backwards, we will do the opposite to $15$ to get $x$.

x= 15 ÷ 5

color(blue)(x = 3