Solve -2(x-3)-6(-x-5)=2(x+1)

$$- 2 ( x - 3 ) - 6 ( - x - 5 ) = 2 ( x + 1 )$$

Solve for x

$$x=-17$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x-3.

$$-2x+6-6\left(-x-5\right)=2\left(x+1\right)$$

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

$$-2x+6-6\left(-x\right)+30=2\left(x+1\right)$$

Multiply -6 and -1 to get 6.

$$-2x+6+6x+30=2\left(x+1\right)$$

Combine -2x and 6x to get 4x.

$$4x+6+30=2\left(x+1\right)$$

Add 6 and 30 to get 36.

$$4x+36=2\left(x+1\right)$$

Use the distributive property to multiply 2 by x+1.

$$4x+36=2x+2$$

Subtract 2x from both sides.

$$4x+36-2x=2$$

Combine 4x and -2x to get 2x.

$$2x+36=2$$

Subtract 36 from both sides.

$$2x=2-36$$

Subtract 36 from 2 to get -34.

$$2x=-34$$

Divide both sides by 2.

$$x=\frac{-34}{2}$$

Divide -34 by 2 to get -17.

$$x=-17$$