3(3t-2)=5(2t-3)

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


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

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

Reorder the terms:
-6 + 9t = 5(-3 + 2t)
-6 + 9t = (-3 * 5 + 2t * 5)
-6 + 9t = (-15 + 10t)

Solving
-6 + 9t = -15 + 10t

Solving for variable 't'.

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

Add '-10t' to each side of the equation.
-6 + 9t + -10t = -15 + 10t + -10t

Combine like terms: 9t + -10t = -1t
-6 + -1t = -15 + 10t + -10t

Combine like terms: 10t + -10t = 0
-6 + -1t = -15 + 0
-6 + -1t = -15

Add '6' to each side of the equation.
-6 + 6 + -1t = -15 + 6

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

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

Divide each side by '-1'.
t = 9

Simplifying
t = 9

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