Solve 9x+33-(45-15x)=15-3x

$$9 x + 33 - ( 45 - 15 x ) = 15 - 3 x$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

To find the opposite of 45-15x, find the opposite of each term.

$$9x+33-45-\left(-15x\right)=15-3x$$

The opposite of -15x is 15x.

$$9x+33-45+15x=15-3x$$

Subtract 45 from 33 to get -12.

$$9x-12+15x=15-3x$$

Combine 9x and 15x to get 24x.

$$24x-12=15-3x$$

Add 3x to both sides.

$$24x-12+3x=15$$

Combine 24x and 3x to get 27x.

$$27x-12=15$$

Add 12 to both sides.

$$27x=15+12$$

Add 15 and 12 to get 27.

$$27x=27$$

Divide both sides by 27.

$$x=\frac{27}{27}$$

Divide 27 by 27 to get 1.

$$x=1$$