# How do you solve 0.2( 2x + \frac { 1} { 2} ) = 510.5+ ( - 2) 1?

Jul 26, 2018

$x = 1271$

#### Explanation:

$0.2 \left(2 x + \frac{1}{2}\right) = 510.5 + \left(- 2\right) 1$

Expand the brackets
$0.4 x + 0.1 = 510.5 - 2$

Make $0.4 x$ your subject
$0.4 x = 510.5 - 2 - 0.1$

Simplify
$0.4 x = 508.4$

Divide both sides by $0.4$
$x = 1271$