7(t-8)=2(t+1)+2

Solution for 7(t-8)=2(t+1)+2 equation:

Simplifying
7(t + -8) = 2(t + 1) + 2

Reorder the terms:
7(-8 + t) = 2(t + 1) + 2
(-8 * 7 + t * 7) = 2(t + 1) + 2
(-56 + 7t) = 2(t + 1) + 2

Reorder the terms:
-56 + 7t = 2(1 + t) + 2
-56 + 7t = (1 * 2 + t * 2) + 2
-56 + 7t = (2 + 2t) + 2

Reorder the terms:
-56 + 7t = 2 + 2 + 2t

Combine like terms: 2 + 2 = 4
-56 + 7t = 4 + 2t

Solving
-56 + 7t = 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.
-56 + 7t + -2t = 4 + 2t + -2t

Combine like terms: 7t + -2t = 5t
-56 + 5t = 4 + 2t + -2t

Combine like terms: 2t + -2t = 0
-56 + 5t = 4 + 0
-56 + 5t = 4

Add '56' to each side of the equation.
-56 + 56 + 5t = 4 + 56

Combine like terms: -56 + 56 = 0
0 + 5t = 4 + 56
5t = 4 + 56

Combine like terms: 4 + 56 = 60
5t = 60

Divide each side by '5'.
t = 12

Simplifying
t = 12