Solve -4/5v-4/5=5/2v+5

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

Solve for v

$$v = -\frac{58}{33} = -1\frac{25}{33} \approx -1.757575758$$

Steps for Solving Linear Equation

Subtract \frac{5}{2}v from both sides.

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

Combine -\frac{4}{5}v and -\frac{5}{2}v to get -\frac{33}{10}v.

$$-\frac{33}{10}v-\frac{4}{5}=5$$

Add \frac{4}{5} to both sides.

$$-\frac{33}{10}v=5+\frac{4}{5}$$

Convert 5 to fraction \frac{25}{5}.

$$-\frac{33}{10}v=\frac{25}{5}+\frac{4}{5}$$

Since \frac{25}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.

$$-\frac{33}{10}v=\frac{25+4}{5}$$

Add 25 and 4 to get 29.

$$-\frac{33}{10}v=\frac{29}{5}$$

Multiply both sides by -\frac{10}{33}, the reciprocal of -\frac{33}{10}.

$$v=\frac{29}{5}\left(-\frac{10}{33}\right)$$

Multiply \frac{29}{5} times -\frac{10}{33} by multiplying numerator times numerator and denominator times denominator.

$$v=\frac{29\left(-10\right)}{5\times 33}$$

Do the multiplications in the fraction \frac{29\left(-10\right)}{5\times 33}.

$$v=\frac{-290}{165}$$

Reduce the fraction \frac{-290}{165} to lowest terms by extracting and canceling out 5.

$$v=-\frac{58}{33}$$