Solve 2v+6/5+3v+6/4=5

$$\frac { 2 v + 6 } { 5 } + \frac { 3 v + 6 } { 4 } = 5$$

Solve for v

$$v=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,4.

$$4\left(2v+6\right)+5\left(3v+6\right)=100$$

Use the distributive property to multiply 4 by 2v+6.

$$8v+24+5\left(3v+6\right)=100$$

Use the distributive property to multiply 5 by 3v+6.

$$8v+24+15v+30=100$$

Combine 8v and 15v to get 23v.

$$23v+24+30=100$$

Add 24 and 30 to get 54.

$$23v+54=100$$

Subtract 54 from both sides.

$$23v=100-54$$

Subtract 54 from 100 to get 46.

$$23v=46$$

Divide both sides by 23.

$$v=\frac{46}{23}$$

Divide 46 by 23 to get 2.

$$v=2$$