Solve 6-3(x-2)=4x-(x+8)

$$6-3(x-2)=4x-(x+8)$$

Solve for x

$$x = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by x-2.

$$6-3x+6=4x-\left(x+8\right)$$

Add 6 and 6 to get 12.

$$12-3x=4x-\left(x+8\right)$$

To find the opposite of x+8, find the opposite of each term.

$$12-3x=4x-x-8$$

Combine 4x and -x to get 3x.

$$12-3x=3x-8$$

Subtract 3x from both sides.

$$12-3x-3x=-8$$

Combine -3x and -3x to get -6x.

$$12-6x=-8$$

Subtract 12 from both sides.

$$-6x=-8-12$$

Subtract 12 from -8 to get -20.

$$-6x=-20$$

Divide both sides by -6.

$$x=\frac{-20}{-6}$$

Reduce the fraction \frac{-20}{-6} to lowest terms by extracting and canceling out -2.

$$x=\frac{10}{3}$$