Solve 400x-10(x-8)+500x-15(x-8)=8800

$$400x-10(x-8)+500x-15(x-8)=8800$$

Solve for x

$$x = \frac{344}{35} = 9\frac{29}{35} \approx 9.828571429$$

Steps for Solving Linear Equation

Use the distributive property to multiply -10 by x-8.

$$400x-10x+80+500x-15\left(x-8\right)=8800$$

Combine 400x and -10x to get 390x.

$$390x+80+500x-15\left(x-8\right)=8800$$

Combine 390x and 500x to get 890x.

$$890x+80-15\left(x-8\right)=8800$$

Use the distributive property to multiply -15 by x-8.

$$890x+80-15x+120=8800$$

Combine 890x and -15x to get 875x.

$$875x+80+120=8800$$

Add 80 and 120 to get 200.

$$875x+200=8800$$

Subtract 200 from both sides.

$$875x=8800-200$$

Subtract 200 from 8800 to get 8600.

$$875x=8600$$

Divide both sides by 875.

$$x=\frac{8600}{875}$$

Reduce the fraction \frac{8600}{875} to lowest terms by extracting and canceling out 25.

$$x=\frac{344}{35}$$