Solve x-4/2-1-x/6=x/3

$$\frac{ x-4 }{ 2 } - \frac{ 1-x }{ 6 } = \frac{ x }{ 3 }$$

Solve for x

$$x = \frac{13}{2} = 6\frac{1}{2} = 6.5$$

Steps for Solving Linear Equation

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

$$3\left(x-4\right)-\left(1-x\right)=2x$$

Use the distributive property to multiply 3 by x-4.

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

To find the opposite of 1-x, find the opposite of each term.

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

The opposite of -x is x.

$$3x-12-1+x=2x$$

Subtract 1 from -12 to get -13.

$$3x-13+x=2x$$

Combine 3x and x to get 4x.

$$4x-13=2x$$

Subtract 2x from both sides.

$$4x-13-2x=0$$

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

$$2x-13=0$$

Add 13 to both sides. Anything plus zero gives itself.

$$2x=13$$

Divide both sides by 2.

$$x=\frac{13}{2}$$