Solve 2x-1/3+1=-5x+2/12+x

$$\frac{ 2x-1 }{ 3 } +1 = - \frac{ 5x+2 }{ 12 } +x$$

Solve for x

$$x=-10$$

Steps for Solving Linear Equation

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

$$4\left(2x-1\right)+12=-\left(5x+2\right)+12x$$

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

$$8x-4+12=-\left(5x+2\right)+12x$$

Add -4 and 12 to get 8.

$$8x+8=-\left(5x+2\right)+12x$$

To find the opposite of 5x+2, find the opposite of each term.

$$8x+8=-5x-2+12x$$

Combine -5x and 12x to get 7x.

$$8x+8=7x-2$$

Subtract 7x from both sides.

$$8x+8-7x=-2$$

Combine 8x and -7x to get x.

$$x+8=-2$$

Subtract 8 from both sides.

$$x=-2-8$$

Subtract 8 from -2 to get -10.

$$x=-10$$