Solve 3(3-3x)=2(x+3)-30

$$3 ( 3 - 3 x ) = 2 ( x + 3 ) - 30$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$9-9x=2\left(x+3\right)-30$$

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

$$9-9x=2x+6-30$$

Subtract 30 from 6 to get -24.

$$9-9x=2x-24$$

Subtract 2x from both sides.

$$9-9x-2x=-24$$

Combine -9x and -2x to get -11x.

$$9-11x=-24$$

Subtract 9 from both sides.

$$-11x=-24-9$$

Subtract 9 from -24 to get -33.

$$-11x=-33$$

Divide both sides by -11.

$$x=\frac{-33}{-11}$$

Divide -33 by -11 to get 3.

$$x=3$$