10(T-1)=4(T+2)-T

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Solution for 10(T-1)=4(T+2)-T equation: 


Simplifying
10(T + -1) = 4(T + 2) + -1T

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

Reorder the terms:
-10 + 10T = 4(2 + T) + -1T
-10 + 10T = (2 * 4 + T * 4) + -1T
-10 + 10T = (8 + 4T) + -1T

Combine like terms: 4T + -1T = 3T
-10 + 10T = 8 + 3T

Solving
-10 + 10T = 8 + 3T

Solving for variable 'T'.

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

Add '-3T' to each side of the equation.
-10 + 10T + -3T = 8 + 3T + -3T

Combine like terms: 10T + -3T = 7T
-10 + 7T = 8 + 3T + -3T

Combine like terms: 3T + -3T = 0
-10 + 7T = 8 + 0
-10 + 7T = 8

Add '10' to each side of the equation.
-10 + 10 + 7T = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 7T = 8 + 10
7T = 8 + 10

Combine like terms: 8 + 10 = 18
7T = 18

Divide each side by '7'.
T = 2.571428571

Simplifying
T = 2.571428571

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