Solve 4s-[s+(21s-13)]=768

$$4 s - [ s + ( 21 s - 13 ) ] = 768$$

Solve for s

$$s = -\frac{755}{18} = -41\frac{17}{18} \approx -41.944444444$$

Steps for Solving Linear Equation

Combine s and 21s to get 22s.

$$4s-\left(22s-13\right)=768$$

To find the opposite of 22s-13, find the opposite of each term.

$$4s-22s-\left(-13\right)=768$$

The opposite of -13 is 13.

$$4s-22s+13=768$$

Combine 4s and -22s to get -18s.

$$-18s+13=768$$

Subtract 13 from both sides.

$$-18s=768-13$$

Subtract 13 from 768 to get 755.

$$-18s=755$$

Divide both sides by -18.

$$s=\frac{755}{-18}$$

Fraction \frac{755}{-18} can be rewritten as -\frac{755}{18} by extracting the negative sign.

$$s=-\frac{755}{18}$$