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

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


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

Reorder the terms:
4(-2 + 3t) = 5(2t + 3)
(-2 * 4 + 3t * 4) = 5(2t + 3)
(-8 + 12t) = 5(2t + 3)

Reorder the terms:
-8 + 12t = 5(3 + 2t)
-8 + 12t = (3 * 5 + 2t * 5)
-8 + 12t = (15 + 10t)

Solving
-8 + 12t = 15 + 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.
-8 + 12t + -10t = 15 + 10t + -10t

Combine like terms: 12t + -10t = 2t
-8 + 2t = 15 + 10t + -10t

Combine like terms: 10t + -10t = 0
-8 + 2t = 15 + 0
-8 + 2t = 15

Add '8' to each side of the equation.
-8 + 8 + 2t = 15 + 8

Combine like terms: -8 + 8 = 0
0 + 2t = 15 + 8
2t = 15 + 8

Combine like terms: 15 + 8 = 23
2t = 23

Divide each side by '2'.
t = 11.5

Simplifying
t = 11.5

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