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

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$3\left(3x-2\right)-4\left(2x+3\right)=8-12x$$

Use the distributive property to multiply 3 by 3x-2.

$$9x-6-4\left(2x+3\right)=8-12x$$

Use the distributive property to multiply -4 by 2x+3.

$$9x-6-8x-12=8-12x$$

Combine 9x and -8x to get x.

$$x-6-12=8-12x$$

Subtract 12 from -6 to get -18.

$$x-18=8-12x$$

Add 12x to both sides.

$$x-18+12x=8$$

Combine x and 12x to get 13x.

$$13x-18=8$$

Add 18 to both sides.

$$13x=8+18$$

Add 8 and 18 to get 26.

$$13x=26$$

Divide both sides by 13.

$$x=\frac{26}{13}$$

Divide 26 by 13 to get 2.

$$x=2$$