Solve 2-x-1/3=2x+3/6-x

$$2 - \frac { x - 1 } { 3 } = \frac { 2 x + 3 } { 6 } - x$$

Solve for x

$$x = -\frac{11}{2} = -5\frac{1}{2} = -5.5$$

Steps for Solving Linear Equation

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

$$12-2\left(x-1\right)=2x+3-6x$$

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

$$12-2x+2=2x+3-6x$$

Add 12 and 2 to get 14.

$$14-2x=2x+3-6x$$

Combine 2x and -6x to get -4x.

$$14-2x=-4x+3$$

Add 4x to both sides.

$$14-2x+4x=3$$

Combine -2x and 4x to get 2x.

$$14+2x=3$$

Subtract 14 from both sides.

$$2x=3-14$$

Subtract 14 from 3 to get -11.

$$2x=-11$$

Divide both sides by 2.

$$x=\frac{-11}{2}$$

Fraction \frac{-11}{2} can be rewritten as -\frac{11}{2} by extracting the negative sign.

$$x=-\frac{11}{2}$$