Solve x+3/4-x-1/3=7/2

$$\frac { x + 3 } { 4 } - \frac { x - 1 } { 3 } = \frac { 7 } { 2 }$$

Solve for x

$$x=-29$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3,2.

$$3\left(x+3\right)-4\left(x-1\right)=42$$

Use the distributive property to multiply 3 by x+3.

$$3x+9-4\left(x-1\right)=42$$

Use the distributive property to multiply -4 by x-1.

$$3x+9-4x+4=42$$

Combine 3x and -4x to get -x.

$$-x+9+4=42$$

Add 9 and 4 to get 13.

$$-x+13=42$$

Subtract 13 from both sides.

$$-x=42-13$$

Subtract 13 from 42 to get 29.

$$-x=29$$

Multiply both sides by -1.

$$x=-29$$