Solve -1/15=x-8/9

$$- \frac { 1 } { 15 } = x - \frac { 8 } { 9 }$$

Solve for x

$$x=\frac{37}{45}\approx 0.822222222$$

Steps for Solving Linear Equation

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

$$x-\frac{8}{9}=-\frac{1}{15}$$

Add \frac{8}{9} to both sides.

$$x=-\frac{1}{15}+\frac{8}{9}$$

Least common multiple of 15 and 9 is 45. Convert -\frac{1}{15} and \frac{8}{9} to fractions with denominator 45.

$$x=-\frac{3}{45}+\frac{40}{45}$$

Since -\frac{3}{45} and \frac{40}{45} have the same denominator, add them by adding their numerators.

$$x=\frac{-3+40}{45}$$

Add -3 and 40 to get 37.

$$x=\frac{37}{45}$$