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

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

Solve for x

$$x=11$$

Steps for Solving Linear Equation

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

$$4-4x+8=3\left(2-x\right)-5$$

Add 4 and 8 to get 12.

$$12-4x=3\left(2-x\right)-5$$

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

$$12-4x=6-3x-5$$

Subtract 5 from 6 to get 1.

$$12-4x=1-3x$$

Add 3x to both sides.

$$12-4x+3x=1$$

Combine -4x and 3x to get -x.

$$12-x=1$$

Subtract 12 from both sides.

$$-x=1-12$$

Subtract 12 from 1 to get -11.

$$-x=-11$$

Multiply both sides by -1.

$$x=11$$