Solve x-2/2-2x+4/8=x-6

$$\frac { x - 2 } { 2 } - \frac { 2 x + 4 } { 8 } = x - 6$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 2,8.

$$4\left(x-2\right)-\left(2x+4\right)=8x-48$$

Use the distributive property to multiply 4 by x-2.

$$4x-8-\left(2x+4\right)=8x-48$$

To find the opposite of 2x+4, find the opposite of each term.

$$4x-8-2x-4=8x-48$$

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

$$2x-8-4=8x-48$$

Subtract 4 from -8 to get -12.

$$2x-12=8x-48$$

Subtract 8x from both sides.

$$2x-12-8x=-48$$

Combine 2x and -8x to get -6x.

$$-6x-12=-48$$

Add 12 to both sides.

$$-6x=-48+12$$

Add -48 and 12 to get -36.

$$-6x=-36$$

Divide both sides by -6.

$$x=\frac{-36}{-6}$$

Divide -36 by -6 to get 6.

$$x=6$$