6(s-2)+2(s-53)=2

Solution for 6(s-2)+2(s-53)=2 equation:

Simplifying
6(s + -2) + 2(s + -53) = 2

Reorder the terms:
6(-2 + s) + 2(s + -53) = 2
(-2 * 6 + s * 6) + 2(s + -53) = 2
(-12 + 6s) + 2(s + -53) = 2

Reorder the terms:
-12 + 6s + 2(-53 + s) = 2
-12 + 6s + (-53 * 2 + s * 2) = 2
-12 + 6s + (-106 + 2s) = 2

Reorder the terms:
-12 + -106 + 6s + 2s = 2

Combine like terms: -12 + -106 = -118
-118 + 6s + 2s = 2

Combine like terms: 6s + 2s = 8s
-118 + 8s = 2

Solving
-118 + 8s = 2

Solving for variable 's'.

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

Add '118' to each side of the equation.
-118 + 118 + 8s = 2 + 118

Combine like terms: -118 + 118 = 0
0 + 8s = 2 + 118
8s = 2 + 118

Combine like terms: 2 + 118 = 120
8s = 120

Divide each side by '8'.
s = 15

Simplifying
s = 15