Solve 0.2=0.3(x+5)

$$0.2=0.3(x+5)$$

Solve for x

$$x = -\frac{13}{3} = -4\frac{1}{3} \approx -4.333333333$$

Steps for Solving Linear Equation

Divide both sides by 0.3.

$$\frac{0.2}{0.3}=x+5$$

Expand \frac{0.2}{0.3} by multiplying both numerator and the denominator by 10.

$$\frac{2}{3}=x+5$$

Swap sides so that all variable terms are on the left hand side.

$$x+5=\frac{2}{3}$$

Subtract 5 from both sides.

$$x=\frac{2}{3}-5$$

Convert 5 to fraction \frac{15}{3}.

$$x=\frac{2}{3}-\frac{15}{3}$$

Since \frac{2}{3} and \frac{15}{3} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{2-15}{3}$$

Subtract 15 from 2 to get -13.

$$x=-\frac{13}{3}$$