Solve 0.05x+0.10(400-x)=0.45x

$$0.05 x + 0.10 ( 400 - x ) = 0.45 x$$

Solve for x

$$x=80$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.1 by 400-x.

$$0.05x+40-0.1x=0.45x$$

Combine 0.05x and -0.1x to get -0.05x.

$$-0.05x+40=0.45x$$

Subtract 0.45x from both sides.

$$-0.05x+40-0.45x=0$$

Combine -0.05x and -0.45x to get -0.5x.

$$-0.5x+40=0$$

Subtract 40 from both sides. Anything subtracted from zero gives its negation.

$$-0.5x=-40$$

Divide both sides by -0.5.

$$x=\frac{-40}{-0.5}$$

Expand \frac{-40}{-0.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-400}{-5}$$

Divide -400 by -5 to get 80.

$$x=80$$