10(T-1)=2(T+2)-T

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Solution for 10(T-1)=2(T+2)-T equation: 


Simplifying
10(T + -1) = 2(T + 2) + -1T

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

Reorder the terms:
-10 + 10T = 2(2 + T) + -1T
-10 + 10T = (2 * 2 + T * 2) + -1T
-10 + 10T = (4 + 2T) + -1T

Combine like terms: 2T + -1T = 1T
-10 + 10T = 4 + 1T

Solving
-10 + 10T = 4 + 1T

Solving for variable 'T'.

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

Add '-1T' to each side of the equation.
-10 + 10T + -1T = 4 + 1T + -1T

Combine like terms: 10T + -1T = 9T
-10 + 9T = 4 + 1T + -1T

Combine like terms: 1T + -1T = 0
-10 + 9T = 4 + 0
-10 + 9T = 4

Add '10' to each side of the equation.
-10 + 10 + 9T = 4 + 10

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

Combine like terms: 4 + 10 = 14
9T = 14

Divide each side by '9'.
T = 1.555555556

Simplifying
T = 1.555555556

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