9(t-3)+6=5(3t+2)-9

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Solution for 9(t-3)+6=5(3t+2)-9 equation:


Simplifying
9(t + -3) + 6 = 5(3t + 2) + -9

Reorder the terms:
9(-3 + t) + 6 = 5(3t + 2) + -9
(-3 * 9 + t * 9) + 6 = 5(3t + 2) + -9
(-27 + 9t) + 6 = 5(3t + 2) + -9

Reorder the terms:
-27 + 6 + 9t = 5(3t + 2) + -9

Combine like terms: -27 + 6 = -21
-21 + 9t = 5(3t + 2) + -9

Reorder the terms:
-21 + 9t = 5(2 + 3t) + -9
-21 + 9t = (2 * 5 + 3t * 5) + -9
-21 + 9t = (10 + 15t) + -9

Reorder the terms:
-21 + 9t = 10 + -9 + 15t

Combine like terms: 10 + -9 = 1
-21 + 9t = 1 + 15t

Solving
-21 + 9t = 1 + 15t

Solving for variable 't'.

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

Add '-15t' to each side of the equation.
-21 + 9t + -15t = 1 + 15t + -15t

Combine like terms: 9t + -15t = -6t
-21 + -6t = 1 + 15t + -15t

Combine like terms: 15t + -15t = 0
-21 + -6t = 1 + 0
-21 + -6t = 1

Add '21' to each side of the equation.
-21 + 21 + -6t = 1 + 21

Combine like terms: -21 + 21 = 0
0 + -6t = 1 + 21
-6t = 1 + 21

Combine like terms: 1 + 21 = 22
-6t = 22

Divide each side by '-6'.
t = -3.666666667

Simplifying
t = -3.666666667

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