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

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

Solve for x

$$x = \frac{9}{4} = 2\frac{1}{4} = 2.25$$

Steps for Solving Linear Equation

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

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

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

$$2x-2-6=x+1-3x$$

Subtract 6 from -2 to get -8.

$$2x-8=x+1-3x$$

Combine x and -3x to get -2x.

$$2x-8=-2x+1$$

Add 2x to both sides.

$$2x-8+2x=1$$

Combine 2x and 2x to get 4x.

$$4x-8=1$$

Add 8 to both sides.

$$4x=1+8$$

Add 1 and 8 to get 9.

$$4x=9$$

Divide both sides by 4.

$$x=\frac{9}{4}$$