10(T-1)=8(T+2)-T

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Solution for 10(T-1)=8(T+2)-T equation: 


Simplifying
10(T + -1) = 8(T + 2) + -1T

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

Reorder the terms:
-10 + 10T = 8(2 + T) + -1T
-10 + 10T = (2 * 8 + T * 8) + -1T
-10 + 10T = (16 + 8T) + -1T

Combine like terms: 8T + -1T = 7T
-10 + 10T = 16 + 7T

Solving
-10 + 10T = 16 + 7T

Solving for variable 'T'.

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

Add '-7T' to each side of the equation.
-10 + 10T + -7T = 16 + 7T + -7T

Combine like terms: 10T + -7T = 3T
-10 + 3T = 16 + 7T + -7T

Combine like terms: 7T + -7T = 0
-10 + 3T = 16 + 0
-10 + 3T = 16

Add '10' to each side of the equation.
-10 + 10 + 3T = 16 + 10

Combine like terms: -10 + 10 = 0
0 + 3T = 16 + 10
3T = 16 + 10

Combine like terms: 16 + 10 = 26
3T = 26

Divide each side by '3'.
T = 8.666666667

Simplifying
T = 8.666666667

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