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

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

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

Reorder the terms:
5(-3 + t) + 9 = 3(t + -2) + 6
(-3 * 5 + t * 5) + 9 = 3(t + -2) + 6
(-15 + 5t) + 9 = 3(t + -2) + 6

Reorder the terms:
-15 + 9 + 5t = 3(t + -2) + 6

Combine like terms: -15 + 9 = -6
-6 + 5t = 3(t + -2) + 6

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

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

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

Solving
-6 + 5t = 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.
-6 + 5t + -3t = 3t + -3t

Combine like terms: 5t + -3t = 2t
-6 + 2t = 3t + -3t

Combine like terms: 3t + -3t = 0
-6 + 2t = 0

Add '6' to each side of the equation.
-6 + 6 + 2t = 0 + 6

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

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

Divide each side by '2'.
t = 3

Simplifying
t = 3