2(t+4)-3(t-5)=2t+2

Solution for 2(t+4)-3(t-5)=2t+2 equation:

Simplifying
2(t + 4) + -3(t + -5) = 2t + 2

Reorder the terms:
2(4 + t) + -3(t + -5) = 2t + 2
(4 * 2 + t * 2) + -3(t + -5) = 2t + 2
(8 + 2t) + -3(t + -5) = 2t + 2

Reorder the terms:
8 + 2t + -3(-5 + t) = 2t + 2
8 + 2t + (-5 * -3 + t * -3) = 2t + 2
8 + 2t + (15 + -3t) = 2t + 2

Reorder the terms:
8 + 15 + 2t + -3t = 2t + 2

Combine like terms: 8 + 15 = 23
23 + 2t + -3t = 2t + 2

Combine like terms: 2t + -3t = -1t
23 + -1t = 2t + 2

Reorder the terms:
23 + -1t = 2 + 2t

Solving
23 + -1t = 2 + 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.
23 + -1t + -2t = 2 + 2t + -2t

Combine like terms: -1t + -2t = -3t
23 + -3t = 2 + 2t + -2t

Combine like terms: 2t + -2t = 0
23 + -3t = 2 + 0
23 + -3t = 2

Add '-23' to each side of the equation.
23 + -23 + -3t = 2 + -23

Combine like terms: 23 + -23 = 0
0 + -3t = 2 + -23
-3t = 2 + -23

Combine like terms: 2 + -23 = -21
-3t = -21

Divide each side by '-3'.
t = 7

Simplifying
t = 7