# How do you solve 0.75x + 0.05( 6- x ) = 0.10( 31)?

Jun 4, 2018

$x = 4$

#### Explanation:

If I understand your equation correctly, you mean
$0.75 x + 0.05 \left(6 - x\right) = 0.10 \cdot 31 = 3.1$

Multiplying out each term you get:
$0.75 x + 0.05 \left(6 - x\right) = 0.75 x + 0.05 \cdot 6 - 0.05 x = 3.1$
$\left(0.75 - 0.05\right) x + 0.3 = 3.1$
$0.7 x = 3.1 - 0.3 = 2.8$
This gives
$7 x = 28$
or $x = \frac{28}{7} = 4$