Solve x-2/6-x+1/3+x-1/2=0

$$\frac{ x-2 }{ 6 } - \frac{ x+1 }{ 3 } + \frac{ x-1 }{ 2 } =0$$

Solve for x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

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

$$x-2-2\left(x+1\right)+3\left(x-1\right)=0$$

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

$$x-2-2x-2+3\left(x-1\right)=0$$

Combine x and -2x to get -x.

$$-x-2-2+3\left(x-1\right)=0$$

Subtract 2 from -2 to get -4.

$$-x-4+3\left(x-1\right)=0$$

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

$$-x-4+3x-3=0$$

Combine -x and 3x to get 2x.

$$2x-4-3=0$$

Subtract 3 from -4 to get -7.

$$2x-7=0$$

Add 7 to both sides. Anything plus zero gives itself.

$$2x=7$$

Divide both sides by 2.

$$x=\frac{7}{2}$$