Solve 15(x-4)-2(x+3)-3(x+8)=0

$$15(x-4)-2(x+3)-3(x+8)=0$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

Use the distributive property to multiply 15 by x-4.

$$15x-60-2\left(x+3\right)-3\left(x+8\right)=0$$

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

$$15x-60-2x-6-3\left(x+8\right)=0$$

Combine 15x and -2x to get 13x.

$$13x-60-6-3\left(x+8\right)=0$$

Subtract 6 from -60 to get -66.

$$13x-66-3\left(x+8\right)=0$$

Use the distributive property to multiply -3 by x+8.

$$13x-66-3x-24=0$$

Combine 13x and -3x to get 10x.

$$10x-66-24=0$$

Subtract 24 from -66 to get -90.

$$10x-90=0$$

Add 90 to both sides. Anything plus zero gives itself.

$$10x=90$$

Divide both sides by 10.

$$x=\frac{90}{10}$$

Divide 90 by 10 to get 9.

$$x=9$$