3(T+5)=5(T-3)

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Solution for 3(T+5)=5(T-3) equation: 


Simplifying
3(T + 5) = 5(T + -3)

Reorder the terms:
3(5 + T) = 5(T + -3)
(5 * 3 + T * 3) = 5(T + -3)
(15 + 3T) = 5(T + -3)

Reorder the terms:
15 + 3T = 5(-3 + T)
15 + 3T = (-3 * 5 + T * 5)
15 + 3T = (-15 + 5T)

Solving
15 + 3T = -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.
15 + 3T + -5T = -15 + 5T + -5T

Combine like terms: 3T + -5T = -2T
15 + -2T = -15 + 5T + -5T

Combine like terms: 5T + -5T = 0
15 + -2T = -15 + 0
15 + -2T = -15

Add '-15' to each side of the equation.
15 + -15 + -2T = -15 + -15

Combine like terms: 15 + -15 = 0
0 + -2T = -15 + -15
-2T = -15 + -15

Combine like terms: -15 + -15 = -30
-2T = -30

Divide each side by '-2'.
T = 15

Simplifying
T = 15

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