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

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

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$4\left(x+2\right)-3x=9x-24$$

Use the distributive property to multiply 4 by x+2.

$$4x+8-3x=9x-24$$

Combine 4x and -3x to get x.

$$x+8=9x-24$$

Subtract 9x from both sides.

$$x+8-9x=-24$$

Combine x and -9x to get -8x.

$$-8x+8=-24$$

Subtract 8 from both sides.

$$-8x=-24-8$$

Subtract 8 from -24 to get -32.

$$-8x=-32$$

Divide both sides by -8.

$$x=\frac{-32}{-8}$$

Divide -32 by -8 to get 4.

$$x=4$$