Solve x/3-2=2x-x+3/6

$$\frac { x } { 3 } - 2 = 2 x - \frac { x + 3 } { 6 }$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

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

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

To find the opposite of x+3, find the opposite of each term.

$$2x-12=12x-x-3$$

Combine 12x and -x to get 11x.

$$2x-12=11x-3$$

Subtract 11x from both sides.

$$2x-12-11x=-3$$

Combine 2x and -11x to get -9x.

$$-9x-12=-3$$

Add 12 to both sides.

$$-9x=-3+12$$

Add -3 and 12 to get 9.

$$-9x=9$$

Divide both sides by -9.

$$x=\frac{9}{-9}$$

Divide 9 by -9 to get -1.

$$x=-1$$