Solve 1/2=-4/3v-3/5

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

Solve for v

$$v=-\frac{33}{40}=-0.825$$

Steps for Solving Linear Equation

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

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

Add \frac{3}{5} to both sides.

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

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{3}{5} to fractions with denominator 10.

$$-\frac{4}{3}v=\frac{5}{10}+\frac{6}{10}$$

Since \frac{5}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$-\frac{4}{3}v=\frac{5+6}{10}$$

Add 5 and 6 to get 11.

$$-\frac{4}{3}v=\frac{11}{10}$$

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

$$v=\frac{11}{10}\left(-\frac{3}{4}\right)$$

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

$$v=\frac{11\left(-3\right)}{10\times 4}$$

Do the multiplications in the fraction \frac{11\left(-3\right)}{10\times 4}.

$$v=\frac{-33}{40}$$

Fraction \frac{-33}{40} can be rewritten as -\frac{33}{40} by extracting the negative sign.

$$v=-\frac{33}{40}$$