Solve 15(v+5)/60-1/3=1/3v

$$\frac { 15 ( v + 5 ) } { 60 } - \frac { 1 } { 3 } = \frac { 1 } { 3 } v$$

Solve for v

$$v=11$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 60,3.

$$15\left(v+5\right)-20=20v$$

Use the distributive property to multiply 15 by v+5.

$$15v+75-20=20v$$

Subtract 20 from 75 to get 55.

$$15v+55=20v$$

Subtract 20v from both sides.

$$15v+55-20v=0$$

Combine 15v and -20v to get -5v.

$$-5v+55=0$$

Subtract 55 from both sides. Anything subtracted from zero gives its negation.

$$-5v=-55$$

Divide both sides by -5.

$$v=\frac{-55}{-5}$$

Divide -55 by -5 to get 11.

$$v=11$$