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

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

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

$$4\left(x-2\right)-3\left(x-1\right)=6\left(x-3\right)-12$$

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

$$4x-8-3\left(x-1\right)=6\left(x-3\right)-12$$

Use the distributive property to multiply -3 by x-1.

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

Combine 4x and -3x to get x.

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

Add -8 and 3 to get -5.

$$x-5=6\left(x-3\right)-12$$

Use the distributive property to multiply 6 by x-3.

$$x-5=6x-18-12$$

Subtract 12 from -18 to get -30.

$$x-5=6x-30$$

Subtract 6x from both sides.

$$x-5-6x=-30$$

Combine x and -6x to get -5x.

$$-5x-5=-30$$

Add 5 to both sides.

$$-5x=-30+5$$

Add -30 and 5 to get -25.

$$-5x=-25$$

Divide both sides by -5.

$$x=\frac{-25}{-5}$$

Divide -25 by -5 to get 5.

$$x=5$$