-5(T-2)+7T=5T-1

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Solution for -5(T-2)+7T=5T-1 equation: 


Simplifying
-5(T + -2) + 7T = 5T + -1

Reorder the terms:
-5(-2 + T) + 7T = 5T + -1
(-2 * -5 + T * -5) + 7T = 5T + -1
(10 + -5T) + 7T = 5T + -1

Combine like terms: -5T + 7T = 2T
10 + 2T = 5T + -1

Reorder the terms:
10 + 2T = -1 + 5T

Solving
10 + 2T = -1 + 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.
10 + 2T + -5T = -1 + 5T + -5T

Combine like terms: 2T + -5T = -3T
10 + -3T = -1 + 5T + -5T

Combine like terms: 5T + -5T = 0
10 + -3T = -1 + 0
10 + -3T = -1

Add '-10' to each side of the equation.
10 + -10 + -3T = -1 + -10

Combine like terms: 10 + -10 = 0
0 + -3T = -1 + -10
-3T = -1 + -10

Combine like terms: -1 + -10 = -11
-3T = -11

Divide each side by '-3'.
T = 3.666666667

Simplifying
T = 3.666666667

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