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

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


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

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

Reorder the terms:
15 + 2 + 3t = 6t + -2 + 3t

Combine like terms: 15 + 2 = 17
17 + 3t = 6t + -2 + 3t

Reorder the terms:
17 + 3t = -2 + 6t + 3t

Combine like terms: 6t + 3t = 9t
17 + 3t = -2 + 9t

Solving
17 + 3t = -2 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
17 + 3t + -9t = -2 + 9t + -9t

Combine like terms: 3t + -9t = -6t
17 + -6t = -2 + 9t + -9t

Combine like terms: 9t + -9t = 0
17 + -6t = -2 + 0
17 + -6t = -2

Add '-17' to each side of the equation.
17 + -17 + -6t = -2 + -17

Combine like terms: 17 + -17 = 0
0 + -6t = -2 + -17
-6t = -2 + -17

Combine like terms: -2 + -17 = -19
-6t = -19

Divide each side by '-6'.
t = 3.166666667

Simplifying
t = 3.166666667

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