13(T-1)=5(T+2)-T

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Solution for 13(T-1)=5(T+2)-T equation: 


Simplifying
13(T + -1) = 5(T + 2) + -1T

Reorder the terms:
13(-1 + T) = 5(T + 2) + -1T
(-1 * 13 + T * 13) = 5(T + 2) + -1T
(-13 + 13T) = 5(T + 2) + -1T

Reorder the terms:
-13 + 13T = 5(2 + T) + -1T
-13 + 13T = (2 * 5 + T * 5) + -1T
-13 + 13T = (10 + 5T) + -1T

Combine like terms: 5T + -1T = 4T
-13 + 13T = 10 + 4T

Solving
-13 + 13T = 10 + 4T

Solving for variable 'T'.

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

Add '-4T' to each side of the equation.
-13 + 13T + -4T = 10 + 4T + -4T

Combine like terms: 13T + -4T = 9T
-13 + 9T = 10 + 4T + -4T

Combine like terms: 4T + -4T = 0
-13 + 9T = 10 + 0
-13 + 9T = 10

Add '13' to each side of the equation.
-13 + 13 + 9T = 10 + 13

Combine like terms: -13 + 13 = 0
0 + 9T = 10 + 13
9T = 10 + 13

Combine like terms: 10 + 13 = 23
9T = 23

Divide each side by '9'.
T = 2.555555556

Simplifying
T = 2.555555556

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