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

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

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x-2.

$$6x-12=3\left(x-8\right)$$

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

$$6x-12=3x-24$$

Subtract 3x from both sides.

$$6x-12-3x=-24$$

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

$$3x-12=-24$$

Add 12 to both sides.

$$3x=-24+12$$

Add -24 and 12 to get -12.

$$3x=-12$$

Divide both sides by 3.

$$x=\frac{-12}{3}$$

Divide -12 by 3 to get -4.

$$x=-4$$