Solve x+7/3+3x-7/4=6

$$\frac { x + 7 } { 3 } + \frac { 3 x - 7 } { 4 } = 6$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$4\left(x+7\right)+3\left(3x-7\right)=72$$

Use the distributive property to multiply 4 by x+7.

$$4x+28+3\left(3x-7\right)=72$$

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

$$4x+28+9x-21=72$$

Combine 4x and 9x to get 13x.

$$13x+28-21=72$$

Subtract 21 from 28 to get 7.

$$13x+7=72$$

Subtract 7 from both sides.

$$13x=72-7$$

Subtract 7 from 72 to get 65.

$$13x=65$$

Divide both sides by 13.

$$x=\frac{65}{13}$$

Divide 65 by 13 to get 5.

$$x=5$$