Solve 8(s+17)leq4(3s+17)+20

$$8 ( s + 17 ) \leq 4 ( 3 s + 17 ) + 20$$

Solve for s

$$s\geq 12$$

Solution Steps

Use the distributive property to multiply 8 by s+17.

$$8s+136\leq 4\left(3s+17\right)+20$$

Use the distributive property to multiply 4 by 3s+17.

$$8s+136\leq 12s+68+20$$

Add 68 and 20 to get 88.

$$8s+136\leq 12s+88$$

Subtract 12s from both sides.

$$8s+136-12s\leq 88$$

Combine 8s and -12s to get -4s.

$$-4s+136\leq 88$$

Subtract 136 from both sides.

$$-4s\leq 88-136$$

Subtract 136 from 88 to get -48.

$$-4s\leq -48$$

Divide both sides by -4. Since -4 is negative, the inequality direction is changed.

$$s\geq \frac{-48}{-4}$$

Divide -48 by -4 to get 12.

$$s\geq 12$$