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

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

Solve for v

$$v=\frac{35}{44}\approx 0.795454545$$

Steps for Solving Linear Equation

Add 2v to both sides.

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

Combine \frac{5}{3}v and 2v to get \frac{11}{3}v.

$$\frac{11}{3}v-\frac{5}{3}=\frac{5}{4}$$

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

$$\frac{11}{3}v=\frac{5}{4}+\frac{5}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{5}{4} and \frac{5}{3} to fractions with denominator 12.

$$\frac{11}{3}v=\frac{15}{12}+\frac{20}{12}$$

Since \frac{15}{12} and \frac{20}{12} have the same denominator, add them by adding their numerators.

$$\frac{11}{3}v=\frac{15+20}{12}$$

Add 15 and 20 to get 35.

$$\frac{11}{3}v=\frac{35}{12}$$

Multiply both sides by \frac{3}{11}, the reciprocal of \frac{11}{3}.

$$v=\frac{35}{12}\times \frac{3}{11}$$

Multiply \frac{35}{12} times \frac{3}{11} by multiplying numerator times numerator and denominator times denominator.

$$v=\frac{35\times 3}{12\times 11}$$

Do the multiplications in the fraction \frac{35\times 3}{12\times 11}.

$$v=\frac{105}{132}$$

Reduce the fraction \frac{105}{132} to lowest terms by extracting and canceling out 3.

$$v=\frac{35}{44}$$