2(2t+5)+6t=17+3(2t-5)

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Solution for 2(2t+5)+6t=17+3(2t-5) equation: 


Simplifying
2(2t + 5) + 6t = 17 + 3(2t + -5)

Reorder the terms:
2(5 + 2t) + 6t = 17 + 3(2t + -5)
(5 * 2 + 2t * 2) + 6t = 17 + 3(2t + -5)
(10 + 4t) + 6t = 17 + 3(2t + -5)

Combine like terms: 4t + 6t = 10t
10 + 10t = 17 + 3(2t + -5)

Reorder the terms:
10 + 10t = 17 + 3(-5 + 2t)
10 + 10t = 17 + (-5 * 3 + 2t * 3)
10 + 10t = 17 + (-15 + 6t)

Combine like terms: 17 + -15 = 2
10 + 10t = 2 + 6t

Solving
10 + 10t = 2 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
10 + 10t + -6t = 2 + 6t + -6t

Combine like terms: 10t + -6t = 4t
10 + 4t = 2 + 6t + -6t

Combine like terms: 6t + -6t = 0
10 + 4t = 2 + 0
10 + 4t = 2

Add '-10' to each side of the equation.
10 + -10 + 4t = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 4t = 2 + -10
4t = 2 + -10

Combine like terms: 2 + -10 = -8
4t = -8

Divide each side by '4'.
t = -2

Simplifying
t = -2

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