2t+9=5t-6

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Solution for 2t+9=5t-6 equation:


Simplifying
2t + 9 = 5t + -6

Reorder the terms:
9 + 2t = 5t + -6

Reorder the terms:
9 + 2t = -6 + 5t

Solving
9 + 2t = -6 + 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.
9 + 2t + -5t = -6 + 5t + -5t

Combine like terms: 2t + -5t = -3t
9 + -3t = -6 + 5t + -5t

Combine like terms: 5t + -5t = 0
9 + -3t = -6 + 0
9 + -3t = -6

Add '-9' to each side of the equation.
9 + -9 + -3t = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -3t = -6 + -9
-3t = -6 + -9

Combine like terms: -6 + -9 = -15
-3t = -15

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

Simplifying
t = 5

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