-3(5s-2)-6=3(7s+0)-5

Solution for -3(5s-2)-6=3(7s+0)-5 equation:

Simplifying
-3(5s + -2) + -6 = 3(7s + 0) + -5

Reorder the terms:
-3(-2 + 5s) + -6 = 3(7s + 0) + -5
(-2 * -3 + 5s * -3) + -6 = 3(7s + 0) + -5
(6 + -15s) + -6 = 3(7s + 0) + -5

Reorder the terms:
6 + -6 + -15s = 3(7s + 0) + -5

Combine like terms: 6 + -6 = 0
0 + -15s = 3(7s + 0) + -5
-15s = 3(7s + 0) + -5

Reorder the terms:
-15s = 3(0 + 7s) + -5
Remove the zero:
-15s = 3(7s) + -5

Remove parenthesis around (7s)
-15s = 3 * 7s + -5

Multiply 3 * 7
-15s = 21s + -5

Reorder the terms:
-15s = -5 + 21s

Solving
-15s = -5 + 21s

Solving for variable 's'.

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

Add '-21s' to each side of the equation.
-15s + -21s = -5 + 21s + -21s

Combine like terms: -15s + -21s = -36s
-36s = -5 + 21s + -21s

Combine like terms: 21s + -21s = 0
-36s = -5 + 0
-36s = -5

Divide each side by '-36'.
s = 0.1388888889

Simplifying
s = 0.1388888889