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

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


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

Reorder the terms:
2(2 + 6t) = 3(5t + -6)
(2 * 2 + 6t * 2) = 3(5t + -6)
(4 + 12t) = 3(5t + -6)

Reorder the terms:
4 + 12t = 3(-6 + 5t)
4 + 12t = (-6 * 3 + 5t * 3)
4 + 12t = (-18 + 15t)

Solving
4 + 12t = -18 + 15t

Solving for variable 't'.

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

Add '-15t' to each side of the equation.
4 + 12t + -15t = -18 + 15t + -15t

Combine like terms: 12t + -15t = -3t
4 + -3t = -18 + 15t + -15t

Combine like terms: 15t + -15t = 0
4 + -3t = -18 + 0
4 + -3t = -18

Add '-4' to each side of the equation.
4 + -4 + -3t = -18 + -4

Combine like terms: 4 + -4 = 0
0 + -3t = -18 + -4
-3t = -18 + -4

Combine like terms: -18 + -4 = -22
-3t = -22

Divide each side by '-3'.
t = 7.333333333

Simplifying
t = 7.333333333

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