Solve 8(x-3)-2(x-2)=20

$$8(x-3)-2(x-2)=20$$

Solve for x

$$x = \frac{20}{3} = 6\frac{2}{3} \approx 6.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by x-3.

$$8x-24-2\left(x-2\right)=20$$

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

$$8x-24-2x+4=20$$

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

$$6x-24+4=20$$

Add -24 and 4 to get -20.

$$6x-20=20$$

Add 20 to both sides.

$$6x=20+20$$

Add 20 and 20 to get 40.

$$6x=40$$

Divide both sides by 6.

$$x=\frac{40}{6}$$

Reduce the fraction \frac{40}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{20}{3}$$