Solve x*4/3-2/5=-8/45

$$x \times \frac { 4 } { 3 } - \frac { 2 } { 5 } = - \frac { 8 } { 45 }$$

Solve for x

$$x=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

Add \frac{2}{5} to both sides.

$$x\times \frac{4}{3}=-\frac{8}{45}+\frac{2}{5}$$

Least common multiple of 45 and 5 is 45. Convert -\frac{8}{45} and \frac{2}{5} to fractions with denominator 45.

$$x\times \frac{4}{3}=-\frac{8}{45}+\frac{18}{45}$$

Since -\frac{8}{45} and \frac{18}{45} have the same denominator, add them by adding their numerators.

$$x\times \frac{4}{3}=\frac{-8+18}{45}$$

Add -8 and 18 to get 10.

$$x\times \frac{4}{3}=\frac{10}{45}$$

Reduce the fraction \frac{10}{45} to lowest terms by extracting and canceling out 5.

$$x\times \frac{4}{3}=\frac{2}{9}$$

Multiply both sides by \frac{3}{4}, the reciprocal of \frac{4}{3}.

$$x=\frac{2}{9}\times \frac{3}{4}$$

Multiply \frac{2}{9} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2\times 3}{9\times 4}$$

Do the multiplications in the fraction \frac{2\times 3}{9\times 4}.

$$x=\frac{6}{36}$$

Reduce the fraction \frac{6}{36} to lowest terms by extracting and canceling out 6.

$$x=\frac{1}{6}$$