Solve 15(x+3)-3(x+9)+5(x+6)=82

$$15(x+3)-3(x+9)+5(x+6)=82$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 15 by x+3.

$$15x+45-3\left(x+9\right)+5\left(x+6\right)=82$$

Use the distributive property to multiply -3 by x+9.

$$15x+45-3x-27+5\left(x+6\right)=82$$

Combine 15x and -3x to get 12x.

$$12x+45-27+5\left(x+6\right)=82$$

Subtract 27 from 45 to get 18.

$$12x+18+5\left(x+6\right)=82$$

Use the distributive property to multiply 5 by x+6.

$$12x+18+5x+30=82$$

Combine 12x and 5x to get 17x.

$$17x+18+30=82$$

Add 18 and 30 to get 48.

$$17x+48=82$$

Subtract 48 from both sides.

$$17x=82-48$$

Subtract 48 from 82 to get 34.

$$17x=34$$

Divide both sides by 17.

$$x=\frac{34}{17}$$

Divide 34 by 17 to get 2.

$$x=2$$