5(t+3)+9=3(t+2)+6

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Solution for 5(t+3)+9=3(t+2)+6 equation:


Simplifying
5(t + 3) + 9 = 3(t + 2) + 6

Reorder the terms:
5(3 + t) + 9 = 3(t + 2) + 6
(3 * 5 + t * 5) + 9 = 3(t + 2) + 6
(15 + 5t) + 9 = 3(t + 2) + 6

Reorder the terms:
15 + 9 + 5t = 3(t + 2) + 6

Combine like terms: 15 + 9 = 24
24 + 5t = 3(t + 2) + 6

Reorder the terms:
24 + 5t = 3(2 + t) + 6
24 + 5t = (2 * 3 + t * 3) + 6
24 + 5t = (6 + 3t) + 6

Reorder the terms:
24 + 5t = 6 + 6 + 3t

Combine like terms: 6 + 6 = 12
24 + 5t = 12 + 3t

Solving
24 + 5t = 12 + 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.
24 + 5t + -3t = 12 + 3t + -3t

Combine like terms: 5t + -3t = 2t
24 + 2t = 12 + 3t + -3t

Combine like terms: 3t + -3t = 0
24 + 2t = 12 + 0
24 + 2t = 12

Add '-24' to each side of the equation.
24 + -24 + 2t = 12 + -24

Combine like terms: 24 + -24 = 0
0 + 2t = 12 + -24
2t = 12 + -24

Combine like terms: 12 + -24 = -12
2t = -12

Divide each side by '2'.
t = -6

Simplifying
t = -6

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