(5t-6)=(t+1)+2

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Solution for (5t-6)=(t+1)+2 equation:


Simplifying
(5t + -6) = (t + 1) + 2

Reorder the terms:
(-6 + 5t) = (t + 1) + 2

Remove parenthesis around (-6 + 5t)
-6 + 5t = (t + 1) + 2

Reorder the terms:
-6 + 5t = (1 + t) + 2

Remove parenthesis around (1 + t)
-6 + 5t = 1 + t + 2

Reorder the terms:
-6 + 5t = 1 + 2 + t

Combine like terms: 1 + 2 = 3
-6 + 5t = 3 + t

Solving
-6 + 5t = 3 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-6 + 5t + -1t = 3 + t + -1t

Combine like terms: 5t + -1t = 4t
-6 + 4t = 3 + t + -1t

Combine like terms: t + -1t = 0
-6 + 4t = 3 + 0
-6 + 4t = 3

Add '6' to each side of the equation.
-6 + 6 + 4t = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 4t = 3 + 6
4t = 3 + 6

Combine like terms: 3 + 6 = 9
4t = 9

Divide each side by '4'.
t = 2.25

Simplifying
t = 2.25

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