2(5s+5)-4=2(3s+5)-13

Solution for 2(5s+5)-4=2(3s+5)-13 equation:

Simplifying
2(5s + 5) + -4 = 2(3s + 5) + -13

Reorder the terms:
2(5 + 5s) + -4 = 2(3s + 5) + -13
(5 * 2 + 5s * 2) + -4 = 2(3s + 5) + -13
(10 + 10s) + -4 = 2(3s + 5) + -13

Reorder the terms:
10 + -4 + 10s = 2(3s + 5) + -13

Combine like terms: 10 + -4 = 6
6 + 10s = 2(3s + 5) + -13

Reorder the terms:
6 + 10s = 2(5 + 3s) + -13
6 + 10s = (5 * 2 + 3s * 2) + -13
6 + 10s = (10 + 6s) + -13

Reorder the terms:
6 + 10s = 10 + -13 + 6s

Combine like terms: 10 + -13 = -3
6 + 10s = -3 + 6s

Solving
6 + 10s = -3 + 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.
6 + 10s + -6s = -3 + 6s + -6s

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

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

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

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

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

Divide each side by '4'.
s = -2.25

Simplifying
s = -2.25