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

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


Simplifying
5(2 + t) = 3(t + 6)
(2 * 5 + t * 5) = 3(t + 6)
(10 + 5t) = 3(t + 6)

Reorder the terms:
10 + 5t = 3(6 + t)
10 + 5t = (6 * 3 + t * 3)
10 + 5t = (18 + 3t)

Solving
10 + 5t = 18 + 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.
10 + 5t + -3t = 18 + 3t + -3t

Combine like terms: 5t + -3t = 2t
10 + 2t = 18 + 3t + -3t

Combine like terms: 3t + -3t = 0
10 + 2t = 18 + 0
10 + 2t = 18

Add '-10' to each side of the equation.
10 + -10 + 2t = 18 + -10

Combine like terms: 10 + -10 = 0
0 + 2t = 18 + -10
2t = 18 + -10

Combine like terms: 18 + -10 = 8
2t = 8

Divide each side by '2'.
t = 4

Simplifying
t = 4

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