(5t-6)=2(t-1)+2

Solution for (5t-6)=2(t-1)+2 equation:

Simplifying
(5t + -6) = 2(t + -1) + 2

Reorder the terms:
(-6 + 5t) = 2(t + -1) + 2

Remove parenthesis around (-6 + 5t)
-6 + 5t = 2(t + -1) + 2

Reorder the terms:
-6 + 5t = 2(-1 + t) + 2
-6 + 5t = (-1 * 2 + t * 2) + 2
-6 + 5t = (-2 + 2t) + 2

Reorder the terms:
-6 + 5t = -2 + 2 + 2t

Combine like terms: -2 + 2 = 0
-6 + 5t = 0 + 2t
-6 + 5t = 2t

Solving
-6 + 5t = 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
-6 + 5t + -2t = 2t + -2t

Combine like terms: 5t + -2t = 3t
-6 + 3t = 2t + -2t

Combine like terms: 2t + -2t = 0
-6 + 3t = 0

Add '6' to each side of the equation.
-6 + 6 + 3t = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3t = 0 + 6
3t = 0 + 6

Combine like terms: 0 + 6 = 6
3t = 6

Divide each side by '3'.
t = 2

Simplifying
t = 2