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

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2x-2.

$$8x-8-3\left(2x-1\right)=1-x$$

Use the distributive property to multiply -3 by 2x-1.

$$8x-8-6x+3=1-x$$

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

$$2x-8+3=1-x$$

Add -8 and 3 to get -5.

$$2x-5=1-x$$

Add x to both sides.

$$2x-5+x=1$$

Combine 2x and x to get 3x.

$$3x-5=1$$

Add 5 to both sides.

$$3x=1+5$$

Add 1 and 5 to get 6.

$$3x=6$$

Divide both sides by 3.

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

Divide 6 by 3 to get 2.

$$x=2$$