Solve 20(x+1)+50(x+2)=500

$$20(x+1)+50(x+2)=500$$

Solve for x

$$x = \frac{38}{7} = 5\frac{3}{7} \approx 5.428571429$$

Steps for Solving Linear Equation

Use the distributive property to multiply 20 by x+1.

$$20x+20+50\left(x+2\right)=500$$

Use the distributive property to multiply 50 by x+2.

$$20x+20+50x+100=500$$

Combine 20x and 50x to get 70x.

$$70x+20+100=500$$

Add 20 and 100 to get 120.

$$70x+120=500$$

Subtract 120 from both sides.

$$70x=500-120$$

Subtract 120 from 500 to get 380.

$$70x=380$$

Divide both sides by 70.

$$x=\frac{380}{70}$$

Reduce the fraction \frac{380}{70} to lowest terms by extracting and canceling out 10.

$$x=\frac{38}{7}$$