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

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

Solve for x

$$x=\frac{12}{13}\approx 0.923076923$$

Steps for Solving Linear Equation

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

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

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

$$8x-4+6\left(x-1\right)=x+2$$

Use the distributive property to multiply 6 by x-1.

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

Combine 8x and 6x to get 14x.

$$14x-4-6=x+2$$

Subtract 6 from -4 to get -10.

$$14x-10=x+2$$

Subtract x from both sides.

$$14x-10-x=2$$

Combine 14x and -x to get 13x.

$$13x-10=2$$

Add 10 to both sides.

$$13x=2+10$$

Add 2 and 10 to get 12.

$$13x=12$$

Divide both sides by 13.

$$x=\frac{12}{13}$$