6(5s-14)-12(2s+6)=0

Solution for 6(5s-14)-12(2s+6)=0 equation:

Simplifying
6(5s + -14) + -12(2s + 6) = 0

Reorder the terms:
6(-14 + 5s) + -12(2s + 6) = 0
(-14 * 6 + 5s * 6) + -12(2s + 6) = 0
(-84 + 30s) + -12(2s + 6) = 0

Reorder the terms:
-84 + 30s + -12(6 + 2s) = 0
-84 + 30s + (6 * -12 + 2s * -12) = 0
-84 + 30s + (-72 + -24s) = 0

Reorder the terms:
-84 + -72 + 30s + -24s = 0

Combine like terms: -84 + -72 = -156
-156 + 30s + -24s = 0

Combine like terms: 30s + -24s = 6s
-156 + 6s = 0

Solving
-156 + 6s = 0

Solving for variable 's'.

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

Add '156' to each side of the equation.
-156 + 156 + 6s = 0 + 156

Combine like terms: -156 + 156 = 0
0 + 6s = 0 + 156
6s = 0 + 156

Combine like terms: 0 + 156 = 156
6s = 156

Divide each side by '6'.
s = 26

Simplifying
s = 26