Solve 12(x-6)=-6-12(x-2)-12

$$12(x-6)=-6-12(x-2)-12$$

Solve for x

$$x = \frac{13}{4} = 3\frac{1}{4} = 3.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply 12 by x-6.

$$12x-72=-6-12\left(x-2\right)-12$$

Use the distributive property to multiply -12 by x-2.

$$12x-72=-6-12x+24-12$$

Add -6 and 24 to get 18.

$$12x-72=18-12x-12$$

Subtract 12 from 18 to get 6.

$$12x-72=6-12x$$

Add 12x to both sides.

$$12x-72+12x=6$$

Combine 12x and 12x to get 24x.

$$24x-72=6$$

Add 72 to both sides.

$$24x=6+72$$

Add 6 and 72 to get 78.

$$24x=78$$

Divide both sides by 24.

$$x=\frac{78}{24}$$

Reduce the fraction \frac{78}{24} to lowest terms by extracting and canceling out 6.

$$x=\frac{13}{4}$$