Solve 3/5v-7/3=-7v-2/3

$$\frac { 3 } { 5 } v - \frac { 7 } { 3 } = - 7 v - \frac { 2 } { 3 }$$

Solve for v

$$v=\frac{25}{114}\approx 0.219298246$$

Steps for Solving Linear Equation

Add 7v to both sides.

$$\frac{3}{5}v-\frac{7}{3}+7v=-\frac{2}{3}$$

Combine \frac{3}{5}v and 7v to get \frac{38}{5}v.

$$\frac{38}{5}v-\frac{7}{3}=-\frac{2}{3}$$

Add \frac{7}{3} to both sides.

$$\frac{38}{5}v=-\frac{2}{3}+\frac{7}{3}$$

Since -\frac{2}{3} and \frac{7}{3} have the same denominator, add them by adding their numerators.

$$\frac{38}{5}v=\frac{-2+7}{3}$$

Add -2 and 7 to get 5.

$$\frac{38}{5}v=\frac{5}{3}$$

Multiply both sides by \frac{5}{38}, the reciprocal of \frac{38}{5}.

$$v=\frac{5}{3}\times \frac{5}{38}$$

Multiply \frac{5}{3} times \frac{5}{38} by multiplying numerator times numerator and denominator times denominator.

$$v=\frac{5\times 5}{3\times 38}$$

Do the multiplications in the fraction \frac{5\times 5}{3\times 38}.

$$v=\frac{25}{114}$$