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

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


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

Reorder the terms:
-2(-6 + 4t) = 5(3t + -2)
(-6 * -2 + 4t * -2) = 5(3t + -2)
(12 + -8t) = 5(3t + -2)

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

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

Combine like terms: -8t + -15t = -23t
12 + -23t = -10 + 15t + -15t

Combine like terms: 15t + -15t = 0
12 + -23t = -10 + 0
12 + -23t = -10

Add '-12' to each side of the equation.
12 + -12 + -23t = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -23t = -10 + -12
-23t = -10 + -12

Combine like terms: -10 + -12 = -22
-23t = -22

Divide each side by '-23'.
t = 0.9565217391

Simplifying
t = 0.9565217391

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