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

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

Solve for x

$$x=0$$

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.

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

Subtract 2 from 8 to get 6.

$$6-10x=3\left(2-2x\right)$$

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

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

Add 6x to both sides.

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

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

$$6-4x=6$$

Subtract 6 from both sides.

$$-4x=6-6$$

Subtract 6 from 6 to get 0.

$$-4x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -4 is not equal to 0, x must be equal to 0.

$$x=0$$