# How do you solve 12+5x=12x-10?

$x = \frac{22}{7}$

#### Explanation:

We have:

$12 + 5 x = 12 x - 10$

We can subtract $5 x$ from both sides and also add 10 to both sides:

$12 \textcolor{red}{+ 10} + 5 x \textcolor{g r e e n}{- 5 x} = 12 x \textcolor{g r e e n}{- 5 x} - 10 \textcolor{red}{+ 10}$

We simplify to get:

$22 = 7 x$

$x = \frac{22}{7}$