12(3+t)=5(2t+8)

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Solution for 12(3+t)=5(2t+8) equation:


Simplifying
12(3 + t) = 5(2t + 8)
(3 * 12 + t * 12) = 5(2t + 8)
(36 + 12t) = 5(2t + 8)

Reorder the terms:
36 + 12t = 5(8 + 2t)
36 + 12t = (8 * 5 + 2t * 5)
36 + 12t = (40 + 10t)

Solving
36 + 12t = 40 + 10t

Solving for variable 't'.

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

Add '-10t' to each side of the equation.
36 + 12t + -10t = 40 + 10t + -10t

Combine like terms: 12t + -10t = 2t
36 + 2t = 40 + 10t + -10t

Combine like terms: 10t + -10t = 0
36 + 2t = 40 + 0
36 + 2t = 40

Add '-36' to each side of the equation.
36 + -36 + 2t = 40 + -36

Combine like terms: 36 + -36 = 0
0 + 2t = 40 + -36
2t = 40 + -36

Combine like terms: 40 + -36 = 4
2t = 4

Divide each side by '2'.
t = 2

Simplifying
t = 2

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