Solve 2x+6(x-5)=2(x-12)

$$2 x + 6 ( x - 5 ) = 2 ( x - 12 )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x-5.

$$2x+6x-30=2\left(x-12\right)$$

Combine 2x and 6x to get 8x.

$$8x-30=2\left(x-12\right)$$

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

$$8x-30=2x-24$$

Subtract 2x from both sides.

$$8x-30-2x=-24$$

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

$$6x-30=-24$$

Add 30 to both sides.

$$6x=-24+30$$

Add -24 and 30 to get 6.

$$6x=6$$

Divide both sides by 6.

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

Divide 6 by 6 to get 1.

$$x=1$$