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

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 5-x.

$$10-2x+3\left(-x+1\right)=-2x-2$$

Use the distributive property to multiply 3 by -x+1.

$$10-2x+3\left(-x\right)+3=-2x-2$$

Add 10 and 3 to get 13.

$$13-2x+3\left(-x\right)=-2x-2$$

Add 2x to both sides.

$$13-2x+3\left(-x\right)+2x=-2$$

Combine -2x and 2x to get 0.

$$13+3\left(-x\right)=-2$$

Subtract 13 from both sides.

$$3\left(-x\right)=-2-13$$

Subtract 13 from -2 to get -15.

$$3\left(-x\right)=-15$$

Divide both sides by 3.

$$-x=\frac{-15}{3}$$

Divide -15 by 3 to get -5.

$$-x=-5$$

Multiply both sides by -1.

$$x=5$$