2t-8=3(t+3)

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Solution for 2t-8=3(t+3) equation:


Simplifying
2t + -8 = 3(t + 3)

Reorder the terms:
-8 + 2t = 3(t + 3)

Reorder the terms:
-8 + 2t = 3(3 + t)
-8 + 2t = (3 * 3 + t * 3)
-8 + 2t = (9 + 3t)

Solving
-8 + 2t = 9 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-8 + 2t + -3t = 9 + 3t + -3t

Combine like terms: 2t + -3t = -1t
-8 + -1t = 9 + 3t + -3t

Combine like terms: 3t + -3t = 0
-8 + -1t = 9 + 0
-8 + -1t = 9

Add '8' to each side of the equation.
-8 + 8 + -1t = 9 + 8

Combine like terms: -8 + 8 = 0
0 + -1t = 9 + 8
-1t = 9 + 8

Combine like terms: 9 + 8 = 17
-1t = 17

Divide each side by '-1'.
t = -17

Simplifying
t = -17

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