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

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


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

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

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

Reorder the terms:
5 + 3 + 5t + -3t = 5t + -1

Combine like terms: 5 + 3 = 8
8 + 5t + -3t = 5t + -1

Combine like terms: 5t + -3t = 2t
8 + 2t = 5t + -1

Reorder the terms:
8 + 2t = -1 + 5t

Solving
8 + 2t = -1 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
8 + 2t + -5t = -1 + 5t + -5t

Combine like terms: 2t + -5t = -3t
8 + -3t = -1 + 5t + -5t

Combine like terms: 5t + -5t = 0
8 + -3t = -1 + 0
8 + -3t = -1

Add '-8' to each side of the equation.
8 + -8 + -3t = -1 + -8

Combine like terms: 8 + -8 = 0
0 + -3t = -1 + -8
-3t = -1 + -8

Combine like terms: -1 + -8 = -9
-3t = -9

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

Simplifying
t = 3

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