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

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


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

Reorder the terms:
(5 + t) + -3 = 6t + -13

Remove parenthesis around (5 + t)
5 + t + -3 = 6t + -13

Reorder the terms:
5 + -3 + t = 6t + -13

Combine like terms: 5 + -3 = 2
2 + t = 6t + -13

Reorder the terms:
2 + t = -13 + 6t

Solving
2 + t = -13 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
2 + t + -6t = -13 + 6t + -6t

Combine like terms: t + -6t = -5t
2 + -5t = -13 + 6t + -6t

Combine like terms: 6t + -6t = 0
2 + -5t = -13 + 0
2 + -5t = -13

Add '-2' to each side of the equation.
2 + -2 + -5t = -13 + -2

Combine like terms: 2 + -2 = 0
0 + -5t = -13 + -2
-5t = -13 + -2

Combine like terms: -13 + -2 = -15
-5t = -15

Divide each side by '-5'.
t = 3

Simplifying
t = 3

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