3(4t+4)=5(2t-5)

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Solution for 3(4t+4)=5(2t-5) equation:


Simplifying
3(4t + 4) = 5(2t + -5)

Reorder the terms:
3(4 + 4t) = 5(2t + -5)
(4 * 3 + 4t * 3) = 5(2t + -5)
(12 + 12t) = 5(2t + -5)

Reorder the terms:
12 + 12t = 5(-5 + 2t)
12 + 12t = (-5 * 5 + 2t * 5)
12 + 12t = (-25 + 10t)

Solving
12 + 12t = -25 + 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.
12 + 12t + -10t = -25 + 10t + -10t

Combine like terms: 12t + -10t = 2t
12 + 2t = -25 + 10t + -10t

Combine like terms: 10t + -10t = 0
12 + 2t = -25 + 0
12 + 2t = -25

Add '-12' to each side of the equation.
12 + -12 + 2t = -25 + -12

Combine like terms: 12 + -12 = 0
0 + 2t = -25 + -12
2t = -25 + -12

Combine like terms: -25 + -12 = -37
2t = -37

Divide each side by '2'.
t = -18.5

Simplifying
t = -18.5

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