Solve 0.1x+0.3x+2/0.5=0.5

$$0.1x+ \frac{ 0.3x+2 }{ 0.5 } = 0.5$$

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

Divide each term of 0.3x+2 by 0.5 to get \frac{0.3x}{0.5}+\frac{2}{0.5}.

$$0.1x+\frac{0.3x}{0.5}+\frac{2}{0.5}=0.5$$

Divide 0.3x by 0.5 to get 0.6x.

$$0.1x+0.6x+\frac{2}{0.5}=0.5$$

Expand \frac{2}{0.5} by multiplying both numerator and the denominator by 10.

$$0.1x+0.6x+\frac{20}{5}=0.5$$

Divide 20 by 5 to get 4.

$$0.1x+0.6x+4=0.5$$

Combine 0.1x and 0.6x to get 0.7x.

$$0.7x+4=0.5$$

Subtract 4 from both sides.

$$0.7x=0.5-4$$

Subtract 4 from 0.5 to get -3.5.

$$0.7x=-3.5$$

Divide both sides by 0.7.

$$x=\frac{-3.5}{0.7}$$

Expand \frac{-3.5}{0.7} by multiplying both numerator and the denominator by 10.

$$x=\frac{-35}{7}$$

Divide -35 by 7 to get -5.

$$x=-5$$