Solve -1/2=4/3x-8/5

$$- \frac{ 1 }{ 2 } = \frac{ 4 }{ 3 } x- \frac{ 8 }{ 5 }$$

Solve for x

$$x=\frac{33}{40}=0.825$$

Steps for Solving Linear Equation

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

$$\frac{4}{3}x-\frac{8}{5}=-\frac{1}{2}$$

Add \frac{8}{5} to both sides.

$$\frac{4}{3}x=-\frac{1}{2}+\frac{8}{5}$$

Least common multiple of 2 and 5 is 10. Convert -\frac{1}{2} and \frac{8}{5} to fractions with denominator 10.

$$\frac{4}{3}x=-\frac{5}{10}+\frac{16}{10}$$

Since -\frac{5}{10} and \frac{16}{10} have the same denominator, add them by adding their numerators.

$$\frac{4}{3}x=\frac{-5+16}{10}$$

Add -5 and 16 to get 11.

$$\frac{4}{3}x=\frac{11}{10}$$

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

$$x=\frac{11}{10}\times \frac{3}{4}$$

Multiply \frac{11}{10} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{11\times 3}{10\times 4}$$

Do the multiplications in the fraction \frac{11\times 3}{10\times 4}.

$$x=\frac{33}{40}$$