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

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


Simplifying
2 + -6t + 2(3 + -1t) = (t + -3) * 5 + -3
2 + -6t + (3 * 2 + -1t * 2) = (t + -3) * 5 + -3
2 + -6t + (6 + -2t) = (t + -3) * 5 + -3

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

Combine like terms: 2 + 6 = 8
8 + -6t + -2t = (t + -3) * 5 + -3

Combine like terms: -6t + -2t = -8t
8 + -8t = (t + -3) * 5 + -3

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

Reorder the terms for easier multiplication:
8 + -8t = 5(-3 + t) + -3
8 + -8t = (-3 * 5 + t * 5) + -3
8 + -8t = (-15 + 5t) + -3

Reorder the terms:
8 + -8t = -15 + -3 + 5t

Combine like terms: -15 + -3 = -18
8 + -8t = -18 + 5t

Solving
8 + -8t = -18 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
8 + -8t + -5t = -18 + 5t + -5t

Combine like terms: -8t + -5t = -13t
8 + -13t = -18 + 5t + -5t

Combine like terms: 5t + -5t = 0
8 + -13t = -18 + 0
8 + -13t = -18

Add '-8' to each side of the equation.
8 + -8 + -13t = -18 + -8

Combine like terms: 8 + -8 = 0
0 + -13t = -18 + -8
-13t = -18 + -8

Combine like terms: -18 + -8 = -26
-13t = -26

Divide each side by '-13'.
t = 2

Simplifying
t = 2

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