5(t+1)=3(t-3)

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Solution for 5(t+1)=3(t-3) equation:


Simplifying
5(t + 1) = 3(t + -3)

Reorder the terms:
5(1 + t) = 3(t + -3)
(1 * 5 + t * 5) = 3(t + -3)
(5 + 5t) = 3(t + -3)

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

Solving
5 + 5t = -9 + 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.
5 + 5t + -3t = -9 + 3t + -3t

Combine like terms: 5t + -3t = 2t
5 + 2t = -9 + 3t + -3t

Combine like terms: 3t + -3t = 0
5 + 2t = -9 + 0
5 + 2t = -9

Add '-5' to each side of the equation.
5 + -5 + 2t = -9 + -5

Combine like terms: 5 + -5 = 0
0 + 2t = -9 + -5
2t = -9 + -5

Combine like terms: -9 + -5 = -14
2t = -14

Divide each side by '2'.
t = -7

Simplifying
t = -7

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