# How do you solve 3x+9=-x+1?

Jan 24, 2017

$x = - 2$

#### Explanation:

Collect terms in x on the left side of the equation and numeric values on the right side.

$3 x + x + 9 = \cancel{- x} \cancel{+ x} + 1$

$\Rightarrow 4 x + 9 = 1$

subtract 9 from both sides.

$4 x \cancel{+ 9} \cancel{- 9} = 1 - 9$

$\Rightarrow 4 x = - 8$

To solve for x, divide both sides by 4

$\frac{\cancel{4} x}{\cancel{4}} = \frac{- 8}{4}$

$\Rightarrow x = - 2 \text{ is the solution}$