Solve 2x-1/3+x-2/4=x+2/12

$$\frac{ 2x-1 }{ 3 } + \frac{ x-2 }{ 4 } = \frac{ x+2 }{ 12 }$$

Solve for x

$$x = \frac{6}{5} = 1\frac{1}{5} = 1.2$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 4 by 2x-1.

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

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

$$8x-4+3x-6=x+2$$

Combine 8x and 3x to get 11x.

$$11x-4-6=x+2$$

Subtract 6 from -4 to get -10.

$$11x-10=x+2$$

Subtract x from both sides.

$$11x-10-x=2$$

Combine 11x and -x to get 10x.

$$10x-10=2$$

Add 10 to both sides.

$$10x=2+10$$

Add 2 and 10 to get 12.

$$10x=12$$

Divide both sides by 10.

$$x=\frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{6}{5}$$