2t+21=3(t+5)

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Solution for 2t+21=3(t+5) equation: 


Simplifying
2t + 21 = 3(t + 5)

Reorder the terms:
21 + 2t = 3(t + 5)

Reorder the terms:
21 + 2t = 3(5 + t)
21 + 2t = (5 * 3 + t * 3)
21 + 2t = (15 + 3t)

Solving
21 + 2t = 15 + 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.
21 + 2t + -3t = 15 + 3t + -3t

Combine like terms: 2t + -3t = -1t
21 + -1t = 15 + 3t + -3t

Combine like terms: 3t + -3t = 0
21 + -1t = 15 + 0
21 + -1t = 15

Add '-21' to each side of the equation.
21 + -21 + -1t = 15 + -21

Combine like terms: 21 + -21 = 0
0 + -1t = 15 + -21
-1t = 15 + -21

Combine like terms: 15 + -21 = -6
-1t = -6

Divide each side by '-1'.
t = 6

Simplifying
t = 6

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