Solve 0.5x(0.8-0.2)=0.2-0.3x

$$0.5x(0.8-0.2)=0.2-0.3x$$

Solve for x

$$x=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Subtract 0.2 from 0.8 to get 0.6.

$$0.5x\times 0.6=0.2-0.3x$$

Multiply 0.5 and 0.6 to get 0.3.

$$0.3x=0.2-0.3x$$

Add 0.3x to both sides.

$$0.3x+0.3x=0.2$$

Combine 0.3x and 0.3x to get 0.6x.

$$0.6x=0.2$$

Divide both sides by 0.6.

$$x=\frac{0.2}{0.6}$$

Expand \frac{0.2}{0.6} by multiplying both numerator and the denominator by 10.

$$x=\frac{2}{6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{1}{3}$$