2(t-6)-3(5t-2)=5(7t+5)

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Solution for 2(t-6)-3(5t-2)=5(7t+5) equation:


Simplifying
2(t + -6) + -3(5t + -2) = 5(7t + 5)

Reorder the terms:
2(-6 + t) + -3(5t + -2) = 5(7t + 5)
(-6 * 2 + t * 2) + -3(5t + -2) = 5(7t + 5)
(-12 + 2t) + -3(5t + -2) = 5(7t + 5)

Reorder the terms:
-12 + 2t + -3(-2 + 5t) = 5(7t + 5)
-12 + 2t + (-2 * -3 + 5t * -3) = 5(7t + 5)
-12 + 2t + (6 + -15t) = 5(7t + 5)

Reorder the terms:
-12 + 6 + 2t + -15t = 5(7t + 5)

Combine like terms: -12 + 6 = -6
-6 + 2t + -15t = 5(7t + 5)

Combine like terms: 2t + -15t = -13t
-6 + -13t = 5(7t + 5)

Reorder the terms:
-6 + -13t = 5(5 + 7t)
-6 + -13t = (5 * 5 + 7t * 5)
-6 + -13t = (25 + 35t)

Solving
-6 + -13t = 25 + 35t

Solving for variable 't'.

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

Add '-35t' to each side of the equation.
-6 + -13t + -35t = 25 + 35t + -35t

Combine like terms: -13t + -35t = -48t
-6 + -48t = 25 + 35t + -35t

Combine like terms: 35t + -35t = 0
-6 + -48t = 25 + 0
-6 + -48t = 25

Add '6' to each side of the equation.
-6 + 6 + -48t = 25 + 6

Combine like terms: -6 + 6 = 0
0 + -48t = 25 + 6
-48t = 25 + 6

Combine like terms: 25 + 6 = 31
-48t = 31

Divide each side by '-48'.
t = -0.6458333333

Simplifying
t = -0.6458333333

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