2t-2=3(t+5)

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


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

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

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

Solving
-2 + 2t = 15 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-2 + 2t + -3t = 15 + 3t + -3t

Combine like terms: 2t + -3t = -1t
-2 + -1t = 15 + 3t + -3t

Combine like terms: 3t + -3t = 0
-2 + -1t = 15 + 0
-2 + -1t = 15

Add '2' to each side of the equation.
-2 + 2 + -1t = 15 + 2

Combine like terms: -2 + 2 = 0
0 + -1t = 15 + 2
-1t = 15 + 2

Combine like terms: 15 + 2 = 17
-1t = 17

Divide each side by '-1'.
t = -17

Simplifying
t = -17

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