6t+3(5t-4)=12(2t-5)

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Solution for 6t+3(5t-4)=12(2t-5) equation:


Simplifying
6t + 3(5t + -4) = 12(2t + -5)

Reorder the terms:
6t + 3(-4 + 5t) = 12(2t + -5)
6t + (-4 * 3 + 5t * 3) = 12(2t + -5)
6t + (-12 + 15t) = 12(2t + -5)

Reorder the terms:
-12 + 6t + 15t = 12(2t + -5)

Combine like terms: 6t + 15t = 21t
-12 + 21t = 12(2t + -5)

Reorder the terms:
-12 + 21t = 12(-5 + 2t)
-12 + 21t = (-5 * 12 + 2t * 12)
-12 + 21t = (-60 + 24t)

Solving
-12 + 21t = -60 + 24t

Solving for variable 't'.

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

Add '-24t' to each side of the equation.
-12 + 21t + -24t = -60 + 24t + -24t

Combine like terms: 21t + -24t = -3t
-12 + -3t = -60 + 24t + -24t

Combine like terms: 24t + -24t = 0
-12 + -3t = -60 + 0
-12 + -3t = -60

Add '12' to each side of the equation.
-12 + 12 + -3t = -60 + 12

Combine like terms: -12 + 12 = 0
0 + -3t = -60 + 12
-3t = -60 + 12

Combine like terms: -60 + 12 = -48
-3t = -48

Divide each side by '-3'.
t = 16

Simplifying
t = 16

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