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

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 = 4
6 + 5t = 4 + 2t

Solving
6 + 5t = 4 + 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 = 4 + 2t + -2t

Combine like terms: 5t + -2t = 3t
6 + 3t = 4 + 2t + -2t

Combine like terms: 2t + -2t = 0
6 + 3t = 4 + 0
6 + 3t = 4

Add '-6' to each side of the equation.
6 + -6 + 3t = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 3t = 4 + -6
3t = 4 + -6

Combine like terms: 4 + -6 = -2
3t = -2

Divide each side by '3'.
t = -0.6666666667

Simplifying
t = -0.6666666667