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

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

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

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

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

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

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

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

Solving
-118 + 8t = 2

Solving for variable 't'.

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

Add '118' to each side of the equation.
-118 + 118 + 8t = 2 + 118

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

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

Divide each side by '8'.
t = 15

Simplifying
t = 15