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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$-2x+2-3x+3=3x-2-x$$

Combine -2x and -3x to get -5x.

$$-5x+2+3=3x-2-x$$

Add 2 and 3 to get 5.

$$-5x+5=3x-2-x$$

Combine 3x and -x to get 2x.

$$-5x+5=2x-2$$

Subtract 2x from both sides.

$$-5x+5-2x=-2$$

Combine -5x and -2x to get -7x.

$$-7x+5=-2$$

Subtract 5 from both sides.

$$-7x=-2-5$$

Subtract 5 from -2 to get -7.

$$-7x=-7$$

Divide both sides by -7.

$$x=\frac{-7}{-7}$$

Divide -7 by -7 to get 1.

$$x=1$$