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

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


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

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

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

Solving
15 + 5t = -15 + 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.
15 + 5t + -3t = -15 + 3t + -3t

Combine like terms: 5t + -3t = 2t
15 + 2t = -15 + 3t + -3t

Combine like terms: 3t + -3t = 0
15 + 2t = -15 + 0
15 + 2t = -15

Add '-15' to each side of the equation.
15 + -15 + 2t = -15 + -15

Combine like terms: 15 + -15 = 0
0 + 2t = -15 + -15
2t = -15 + -15

Combine like terms: -15 + -15 = -30
2t = -30

Divide each side by '2'.
t = -15

Simplifying
t = -15

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