# How do you solve 16.2(3.1-x)-31.55x=-19.5?

Feb 25, 2017

$x = 1.460105$

#### Explanation:

16.2(3.1−x)−31.55x=−19.5

Step 1: Simplify both sides of the equation

DOUBLE DISTRIBUTION OF $16.2$

−47.75x+50.22=−19.5

Step 2: Subtract $50.22$ from both sides

−47.75x + cancel(50.22) − cancel(50.22) =−19.5 −50.22

−47.75x=−69.72

Step 3: *Divide both sides by $- 47.75$

$\frac{\cancel{- 47.75} x}{\cancel{- 47.75}} = \frac{69.72}{- 47.75}$

$x = 1.460105$