3(5s+4)-9=3(2s+2)-10

Solution for 3(5s+4)-9=3(2s+2)-10 equation:

Simplifying
3(5s + 4) + -9 = 3(2s + 2) + -10

Reorder the terms:
3(4 + 5s) + -9 = 3(2s + 2) + -10
(4 * 3 + 5s * 3) + -9 = 3(2s + 2) + -10
(12 + 15s) + -9 = 3(2s + 2) + -10

Reorder the terms:
12 + -9 + 15s = 3(2s + 2) + -10

Combine like terms: 12 + -9 = 3
3 + 15s = 3(2s + 2) + -10

Reorder the terms:
3 + 15s = 3(2 + 2s) + -10
3 + 15s = (2 * 3 + 2s * 3) + -10
3 + 15s = (6 + 6s) + -10

Reorder the terms:
3 + 15s = 6 + -10 + 6s

Combine like terms: 6 + -10 = -4
3 + 15s = -4 + 6s

Solving
3 + 15s = -4 + 6s

Solving for variable 's'.

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

Add '-6s' to each side of the equation.
3 + 15s + -6s = -4 + 6s + -6s

Combine like terms: 15s + -6s = 9s
3 + 9s = -4 + 6s + -6s

Combine like terms: 6s + -6s = 0
3 + 9s = -4 + 0
3 + 9s = -4

Add '-3' to each side of the equation.
3 + -3 + 9s = -4 + -3

Combine like terms: 3 + -3 = 0
0 + 9s = -4 + -3
9s = -4 + -3

Combine like terms: -4 + -3 = -7
9s = -7

Divide each side by '9'.
s = -0.7777777778

Simplifying
s = -0.7777777778