5(5-12)-24=3(s+2)

Solution for 5(5-12)-24=3(s+2) equation:

Simplifying
5(5 + -12) + -24 = 3(s + 2)

Combine like terms: 5 + -12 = -7
5(-7) + -24 = 3(s + 2)

Multiply 5 * -7
-35 + -24 = 3(s + 2)

Combine like terms: -35 + -24 = -59
-59 = 3(s + 2)

Reorder the terms:
-59 = 3(2 + s)
-59 = (2 * 3 + s * 3)
-59 = (6 + 3s)

Solving
-59 = 6 + 3s

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '-3s' to each side of the equation.
-59 + -3s = 6 + 3s + -3s

Combine like terms: 3s + -3s = 0
-59 + -3s = 6 + 0
-59 + -3s = 6

Add '59' to each side of the equation.
-59 + 59 + -3s = 6 + 59

Combine like terms: -59 + 59 = 0
0 + -3s = 6 + 59
-3s = 6 + 59

Combine like terms: 6 + 59 = 65
-3s = 65

Divide each side by '-3'.
s = -21.66666667

Simplifying
s = -21.66666667