Solve 8(1-x)-2(x-1)=3(2-2x)

$$8(1-x)-2(x-1)=3(2-2x)$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by 1-x.

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

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

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

Combine -8x and -2x to get -10x.

$$8-10x+2=3\left(2-2x\right)$$

Add 8 and 2 to get 10.

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

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

$$10-10x=6-6x$$

Add 6x to both sides.

$$10-10x+6x=6$$

Combine -10x and 6x to get -4x.

$$10-4x=6$$

Subtract 10 from both sides.

$$-4x=6-10$$

Subtract 10 from 6 to get -4.

$$-4x=-4$$

Divide both sides by -4.

$$x=\frac{-4}{-4}$$

Divide -4 by -4 to get 1.

$$x=1$$