Solve 7/3+2-x/6=1+2x/6-1-x/2

$$\frac { 7 } { 3 } + \frac { 2 - x } { 6 } = \frac { 1 + 2 x } { 6 } - \frac { 1 - x } { 2 }$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$14+2-x=1+2x-3\left(1-x\right)$$

Add 14 and 2 to get 16.

$$16-x=1+2x-3\left(1-x\right)$$

Use the distributive property to multiply -3 by 1-x.

$$16-x=1+2x-3+3x$$

Subtract 3 from 1 to get -2.

$$16-x=-2+2x+3x$$

Combine 2x and 3x to get 5x.

$$16-x=-2+5x$$

Subtract 5x from both sides.

$$16-x-5x=-2$$

Combine -x and -5x to get -6x.

$$16-6x=-2$$

Subtract 16 from both sides.

$$-6x=-2-16$$

Subtract 16 from -2 to get -18.

$$-6x=-18$$

Divide both sides by -6.

$$x=\frac{-18}{-6}$$

Divide -18 by -6 to get 3.

$$x=3$$