# How do you solve 0.5x +78.2 = 287?

May 3, 2018

Solution

#### Explanation:

Multiply both sides by $10$
$0.5 x \setminus \cdot \setminus 10 + 78.2 \setminus \cdot \setminus 10 = 287 \setminus \cdot \setminus 10$

Refine
$5 x + 782 = 2870$

Subtract $782$ from both sides
$5 x + 782 - 782 = 2870 - 782$

Simplify
$5 x = 2088$

Divide both sides by $5$
$\setminus \frac{5 x}{5} = \setminus \frac{2088}{5}$

Simplify
$x = \setminus \frac{2088}{5}$

Final Solution
$x = \setminus \frac{2088}{5}$ or $x = 417.6$