Solve 7v-3/2=v+3/6+8

$$\frac { 7 v - 3 } { 2 } = \frac { v + 3 } { 6 } + 8$$

Solve for v

$$v=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,6.

$$3\left(7v-3\right)=v+3+48$$

Use the distributive property to multiply 3 by 7v-3.

$$21v-9=v+3+48$$

Add 3 and 48 to get 51.

$$21v-9=v+51$$

Subtract v from both sides.

$$21v-9-v=51$$

Combine 21v and -v to get 20v.

$$20v-9=51$$

Add 9 to both sides.

$$20v=51+9$$

Add 51 and 9 to get 60.

$$20v=60$$

Divide both sides by 20.

$$v=\frac{60}{20}$$

Divide 60 by 20 to get 3.

$$v=3$$