Solve 6/5v-1/2=-v+4/5

$$\frac { 6 } { 5 } v - \frac { 1 } { 2 } = - v + \frac { 4 } { 5 }$$

Solve for v

$$v=\frac{13}{22}\approx 0.590909091$$

Steps for Solving Linear Equation

Add v to both sides.

$$\frac{6}{5}v-\frac{1}{2}+v=\frac{4}{5}$$

Combine \frac{6}{5}v and v to get \frac{11}{5}v.

$$\frac{11}{5}v-\frac{1}{2}=\frac{4}{5}$$

Add \frac{1}{2} to both sides.

$$\frac{11}{5}v=\frac{4}{5}+\frac{1}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{4}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{11}{5}v=\frac{8}{10}+\frac{5}{10}$$

Since \frac{8}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{11}{5}v=\frac{8+5}{10}$$

Add 8 and 5 to get 13.

$$\frac{11}{5}v=\frac{13}{10}$$

Multiply both sides by \frac{5}{11}, the reciprocal of \frac{11}{5}.

$$v=\frac{13}{10}\times \frac{5}{11}$$

Multiply \frac{13}{10} times \frac{5}{11} by multiplying numerator times numerator and denominator times denominator.

$$v=\frac{13\times 5}{10\times 11}$$

Do the multiplications in the fraction \frac{13\times 5}{10\times 11}.

$$v=\frac{65}{110}$$

Reduce the fraction \frac{65}{110} to lowest terms by extracting and canceling out 5.

$$v=\frac{13}{22}$$