Solve 3(x+2)-(2x+4)=5(2x-2)-24

$$3 ( x + 2 ) - ( 2 x + 4 ) = 5 ( 2 x - 2 ) - 24$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$3x+6-\left(2x+4\right)=5\left(2x-2\right)-24$$

To find the opposite of 2x+4, find the opposite of each term.

$$3x+6-2x-4=5\left(2x-2\right)-24$$

Combine 3x and -2x to get x.

$$x+6-4=5\left(2x-2\right)-24$$

Subtract 4 from 6 to get 2.

$$x+2=5\left(2x-2\right)-24$$

Use the distributive property to multiply 5 by 2x-2.

$$x+2=10x-10-24$$

Subtract 24 from -10 to get -34.

$$x+2=10x-34$$

Subtract 10x from both sides.

$$x+2-10x=-34$$

Combine x and -10x to get -9x.

$$-9x+2=-34$$

Subtract 2 from both sides.

$$-9x=-34-2$$

Subtract 2 from -34 to get -36.

$$-9x=-36$$

Divide both sides by -9.

$$x=\frac{-36}{-9}$$

Divide -36 by -9 to get 4.

$$x=4$$