5(t+13)+9=3(t-2)+6

Solution for 5(t+13)+9=3(t-2)+6 equation:

Simplifying
5(t + 13) + 9 = 3(t + -2) + 6

Reorder the terms:
5(13 + t) + 9 = 3(t + -2) + 6
(13 * 5 + t * 5) + 9 = 3(t + -2) + 6
(65 + 5t) + 9 = 3(t + -2) + 6

Reorder the terms:
65 + 9 + 5t = 3(t + -2) + 6

Combine like terms: 65 + 9 = 74
74 + 5t = 3(t + -2) + 6

Reorder the terms:
74 + 5t = 3(-2 + t) + 6
74 + 5t = (-2 * 3 + t * 3) + 6
74 + 5t = (-6 + 3t) + 6

Reorder the terms:
74 + 5t = -6 + 6 + 3t

Combine like terms: -6 + 6 = 0
74 + 5t = 0 + 3t
74 + 5t = 3t

Solving
74 + 5t = 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
74 + 5t + -3t = 3t + -3t

Combine like terms: 5t + -3t = 2t
74 + 2t = 3t + -3t

Combine like terms: 3t + -3t = 0
74 + 2t = 0

Add '-74' to each side of the equation.
74 + -74 + 2t = 0 + -74

Combine like terms: 74 + -74 = 0
0 + 2t = 0 + -74
2t = 0 + -74

Combine like terms: 0 + -74 = -74
2t = -74

Divide each side by '2'.
t = -37

Simplifying
t = -37