3t+8=5t-6

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Solution for 3t+8=5t-6 equation:


Simplifying
3t + 8 = 5t + -6

Reorder the terms:
8 + 3t = 5t + -6

Reorder the terms:
8 + 3t = -6 + 5t

Solving
8 + 3t = -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.
8 + 3t + -5t = -6 + 5t + -5t

Combine like terms: 3t + -5t = -2t
8 + -2t = -6 + 5t + -5t

Combine like terms: 5t + -5t = 0
8 + -2t = -6 + 0
8 + -2t = -6

Add '-8' to each side of the equation.
8 + -8 + -2t = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -2t = -6 + -8
-2t = -6 + -8

Combine like terms: -6 + -8 = -14
-2t = -14

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

Simplifying
t = 7

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