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

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

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

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

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

$$12x-3x+9=6x+2\left(4+x\right)$$

Combine 12x and -3x to get 9x.

$$9x+9=6x+2\left(4+x\right)$$

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

$$9x+9=6x+8+2x$$

Combine 6x and 2x to get 8x.

$$9x+9=8x+8$$

Subtract 8x from both sides.

$$9x+9-8x=8$$

Combine 9x and -8x to get x.

$$x+9=8$$

Subtract 9 from both sides.

$$x=8-9$$

Subtract 9 from 8 to get -1.

$$x=-1$$