Solve (s+3)(s+5)+s(10-s)=11s+1

$$( s + 3 ) ( s + 5 ) + s ( 10 - s ) = 11 s + 1$$

Solve for s

$$s=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply s+3 by s+5 and combine like terms.

$$s^{2}+8s+15+s\left(10-s\right)=11s+1$$

Use the distributive property to multiply s by 10-s.

$$s^{2}+8s+15+10s-s^{2}=11s+1$$

Combine 8s and 10s to get 18s.

$$s^{2}+18s+15-s^{2}=11s+1$$

Combine s^{2} and -s^{2} to get 0.

$$18s+15=11s+1$$

Subtract 11s from both sides.

$$18s+15-11s=1$$

Combine 18s and -11s to get 7s.

$$7s+15=1$$

Subtract 15 from both sides.

$$7s=1-15$$

Subtract 15 from 1 to get -14.

$$7s=-14$$

Divide both sides by 7.

$$s=\frac{-14}{7}$$

Divide -14 by 7 to get -2.

$$s=-2$$