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

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

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.

$$12x-4\left(x+1\right)=3\left(x-1\right)+24$$

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

$$12x-4x-4=3\left(x-1\right)+24$$

Combine 12x and -4x to get 8x.

$$8x-4=3\left(x-1\right)+24$$

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

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

Add -3 and 24 to get 21.

$$8x-4=3x+21$$

Subtract 3x from both sides.

$$8x-4-3x=21$$

Combine 8x and -3x to get 5x.

$$5x-4=21$$

Add 4 to both sides.

$$5x=21+4$$

Add 21 and 4 to get 25.

$$5x=25$$

Divide both sides by 5.

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

Divide 25 by 5 to get 5.

$$x=5$$