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

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

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

$$2x+4=8\left(x-3\right)-2$$

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

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

Subtract 2 from -24 to get -26.

$$2x+4=8x-26$$

Subtract 8x from both sides.

$$2x+4-8x=-26$$

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

$$-6x+4=-26$$

Subtract 4 from both sides.

$$-6x=-26-4$$

Subtract 4 from -26 to get -30.

$$-6x=-30$$

Divide both sides by -6.

$$x=\frac{-30}{-6}$$

Divide -30 by -6 to get 5.

$$x=5$$