Solve s+3=7(s+3)-(8-5s)

$$s + 3 = 7 ( s + 3 ) - ( 8 - 5 s )$$

Solve for s

$$s=-\frac{10}{11}\approx -0.909090909$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by s+3.

$$s+3=7s+21-\left(8-5s\right)$$

To find the opposite of 8-5s, find the opposite of each term.

$$s+3=7s+21-8-\left(-5s\right)$$

The opposite of -5s is 5s.

$$s+3=7s+21-8+5s$$

Subtract 8 from 21 to get 13.

$$s+3=7s+13+5s$$

Combine 7s and 5s to get 12s.

$$s+3=12s+13$$

Subtract 12s from both sides.

$$s+3-12s=13$$

Combine s and -12s to get -11s.

$$-11s+3=13$$

Subtract 3 from both sides.

$$-11s=13-3$$

Subtract 3 from 13 to get 10.

$$-11s=10$$

Divide both sides by -11.

$$s=\frac{10}{-11}$$

Fraction \frac{10}{-11} can be rewritten as -\frac{10}{11} by extracting the negative sign.

$$s=-\frac{10}{11}$$