# How do you solve 0.06x + 0.03(4000 - x) = 153?

Mar 4, 2016

$x = 110$

#### Explanation:

$0.06 x + 0.03 \left(4000 - x\right) = 153$

Start by distributing 0.03.

$0.06 x + 120 - 0.03 x = 153$

Next, move the equation around to get numbers on one side and letters on the other. Don't forget to change their signs when moving them onto their opposite sides (ie: negative to positive or positive to negative). In this case, I had to move 120 over to the right side of the equation and change its sign to negative.

$0.06 x - 0.03 x = 153 - 120$

Simplify your equation on both sides.

$\frac{\text{0.03x}}{0.03} = \frac{33}{0.03}$

Divide by 0.03 to get x by itself.

$x = 110$