5(t+5)+9=3(t-2)+14

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Solution for 5(t+5)+9=3(t-2)+14 equation: 


Simplifying
5(t + 5) + 9 = 3(t + -2) + 14

Reorder the terms:
5(5 + t) + 9 = 3(t + -2) + 14
(5 * 5 + t * 5) + 9 = 3(t + -2) + 14
(25 + 5t) + 9 = 3(t + -2) + 14

Reorder the terms:
25 + 9 + 5t = 3(t + -2) + 14

Combine like terms: 25 + 9 = 34
34 + 5t = 3(t + -2) + 14

Reorder the terms:
34 + 5t = 3(-2 + t) + 14
34 + 5t = (-2 * 3 + t * 3) + 14
34 + 5t = (-6 + 3t) + 14

Reorder the terms:
34 + 5t = -6 + 14 + 3t

Combine like terms: -6 + 14 = 8
34 + 5t = 8 + 3t

Solving
34 + 5t = 8 + 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.
34 + 5t + -3t = 8 + 3t + -3t

Combine like terms: 5t + -3t = 2t
34 + 2t = 8 + 3t + -3t

Combine like terms: 3t + -3t = 0
34 + 2t = 8 + 0
34 + 2t = 8

Add '-34' to each side of the equation.
34 + -34 + 2t = 8 + -34

Combine like terms: 34 + -34 = 0
0 + 2t = 8 + -34
2t = 8 + -34

Combine like terms: 8 + -34 = -26
2t = -26

Divide each side by '2'.
t = -13

Simplifying
t = -13

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