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

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

Solve for x

$$x = \frac{25}{3} = 8\frac{1}{3} \approx 8.333333333$$

Steps for Solving Linear Equation

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

$$2\left(x+1\right)-6=18+3-x$$

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

$$2x+2-6=18+3-x$$

Subtract 6 from 2 to get -4.

$$2x-4=18+3-x$$

Add 18 and 3 to get 21.

$$2x-4=21-x$$

Add x to both sides.

$$2x-4+x=21$$

Combine 2x and x to get 3x.

$$3x-4=21$$

Add 4 to both sides.

$$3x=21+4$$

Add 21 and 4 to get 25.

$$3x=25$$

Divide both sides by 3.

$$x=\frac{25}{3}$$