Solve -7/15=x-1/5

$$- \frac { 7 } { 15 } = x - \frac { 1 } { 5 }$$

Solve for x

$$x=-\frac{4}{15}\approx -0.266666667$$

Steps for Solving Linear Equation

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

$$x-\frac{1}{5}=-\frac{7}{15}$$

Add \frac{1}{5} to both sides.

$$x=-\frac{7}{15}+\frac{1}{5}$$

Least common multiple of 15 and 5 is 15. Convert -\frac{7}{15} and \frac{1}{5} to fractions with denominator 15.

$$x=-\frac{7}{15}+\frac{3}{15}$$

Since -\frac{7}{15} and \frac{3}{15} have the same denominator, add them by adding their numerators.

$$x=\frac{-7+3}{15}$$

Add -7 and 3 to get -4.

$$x=-\frac{4}{15}$$