Solve 2x-2(x-1)+5=4-3(x+1)

$$2 x - 2 ( x - 1 ) + 5 = 4 - 3 ( x + 1 )$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

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

$$2x-2x+2+5=4-3\left(x+1\right)$$

Combine 2x and -2x to get 0.

$$2+5=4-3\left(x+1\right)$$

Add 2 and 5 to get 7.

$$7=4-3\left(x+1\right)$$

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

$$7=4-3x-3$$

Subtract 3 from 4 to get 1.

$$7=1-3x$$

Swap sides so that all variable terms are on the left hand side.

$$1-3x=7$$

Subtract 1 from both sides.

$$-3x=7-1$$

Subtract 1 from 7 to get 6.

$$-3x=6$$

Divide both sides by -3.

$$x=\frac{6}{-3}$$

Divide 6 by -3 to get -2.

$$x=-2$$