3(t+5)+5(t-3)=6t+12

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Solution for 3(t+5)+5(t-3)=6t+12 equation: 


Simplifying
3(t + 5) + 5(t + -3) = 6t + 12

Reorder the terms:
3(5 + t) + 5(t + -3) = 6t + 12
(5 * 3 + t * 3) + 5(t + -3) = 6t + 12
(15 + 3t) + 5(t + -3) = 6t + 12

Reorder the terms:
15 + 3t + 5(-3 + t) = 6t + 12
15 + 3t + (-3 * 5 + t * 5) = 6t + 12
15 + 3t + (-15 + 5t) = 6t + 12

Reorder the terms:
15 + -15 + 3t + 5t = 6t + 12

Combine like terms: 15 + -15 = 0
0 + 3t + 5t = 6t + 12
3t + 5t = 6t + 12

Combine like terms: 3t + 5t = 8t
8t = 6t + 12

Reorder the terms:
8t = 12 + 6t

Solving
8t = 12 + 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.
8t + -6t = 12 + 6t + -6t

Combine like terms: 8t + -6t = 2t
2t = 12 + 6t + -6t

Combine like terms: 6t + -6t = 0
2t = 12 + 0
2t = 12

Divide each side by '2'.
t = 6

Simplifying
t = 6

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