# How do you solve 5x - 6+ 2x = 15- 9+ 3x?

Nov 13, 2016

$x = 3$

#### Explanation:

Step 1) Combine like terms on each side of the equation:

$\left(5 x + 2 x\right) - 6 = \left(15 - 9\right) + 3 x$

$\left(5 + 2\right) x - 6 = 6 + 3 x$

$7 x - 6 = 6 + 3 x$

Step 2) solve for $x$ on one side of the equation while keeping the equation balanced:

$7 x - 6 + 6 - 3 x = 6 + 3 x + 6 - 3 x$

$7 x - 3 x = 6 + 6$

$\left(7 - 3\right) x = 12$

$4 x = 12$

$\frac{4 x}{4} = \frac{12}{4}$

$x = 3$