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

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


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

Reorder the terms:
9(2 + t) = 5(t + -3)
(2 * 9 + t * 9) = 5(t + -3)
(18 + 9t) = 5(t + -3)

Reorder the terms:
18 + 9t = 5(-3 + t)
18 + 9t = (-3 * 5 + t * 5)
18 + 9t = (-15 + 5t)

Solving
18 + 9t = -15 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
18 + 9t + -5t = -15 + 5t + -5t

Combine like terms: 9t + -5t = 4t
18 + 4t = -15 + 5t + -5t

Combine like terms: 5t + -5t = 0
18 + 4t = -15 + 0
18 + 4t = -15

Add '-18' to each side of the equation.
18 + -18 + 4t = -15 + -18

Combine like terms: 18 + -18 = 0
0 + 4t = -15 + -18
4t = -15 + -18

Combine like terms: -15 + -18 = -33
4t = -33

Divide each side by '4'.
t = -8.25

Simplifying
t = -8.25

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