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

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


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

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

Reorder the terms:
-12 + 15t = 2(4 + 5t)
-12 + 15t = (4 * 2 + 5t * 2)
-12 + 15t = (8 + 10t)

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

Combine like terms: 15t + -10t = 5t
-12 + 5t = 8 + 10t + -10t

Combine like terms: 10t + -10t = 0
-12 + 5t = 8 + 0
-12 + 5t = 8

Add '12' to each side of the equation.
-12 + 12 + 5t = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 5t = 8 + 12
5t = 8 + 12

Combine like terms: 8 + 12 = 20
5t = 20

Divide each side by '5'.
t = 4

Simplifying
t = 4

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