3(t+5)=9t-21

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Solution for 3(t+5)=9t-21 equation: 


Simplifying
3(t + 5) = 9t + -21

Reorder the terms:
3(5 + t) = 9t + -21
(5 * 3 + t * 3) = 9t + -21
(15 + 3t) = 9t + -21

Reorder the terms:
15 + 3t = -21 + 9t

Solving
15 + 3t = -21 + 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.
15 + 3t + -9t = -21 + 9t + -9t

Combine like terms: 3t + -9t = -6t
15 + -6t = -21 + 9t + -9t

Combine like terms: 9t + -9t = 0
15 + -6t = -21 + 0
15 + -6t = -21

Add '-15' to each side of the equation.
15 + -15 + -6t = -21 + -15

Combine like terms: 15 + -15 = 0
0 + -6t = -21 + -15
-6t = -21 + -15

Combine like terms: -21 + -15 = -36
-6t = -36

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

Simplifying
t = 6

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