17=5(2t-3)+2

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Solution for 17=5(2t-3)+2 equation:


Simplifying
17 = 5(2t + -3) + 2

Reorder the terms:
17 = 5(-3 + 2t) + 2
17 = (-3 * 5 + 2t * 5) + 2
17 = (-15 + 10t) + 2

Reorder the terms:
17 = -15 + 2 + 10t

Combine like terms: -15 + 2 = -13
17 = -13 + 10t

Solving
17 = -13 + 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.
17 + -10t = -13 + 10t + -10t

Combine like terms: 10t + -10t = 0
17 + -10t = -13 + 0
17 + -10t = -13

Add '-17' to each side of the equation.
17 + -17 + -10t = -13 + -17

Combine like terms: 17 + -17 = 0
0 + -10t = -13 + -17
-10t = -13 + -17

Combine like terms: -13 + -17 = -30
-10t = -30

Divide each side by '-10'.
t = 3

Simplifying
t = 3

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