-5(T-5)+8T=5T-4

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Solution for -5(T-5)+8T=5T-4 equation: 


Simplifying
-5(T + -5) + 8T = 5T + -4

Reorder the terms:
-5(-5 + T) + 8T = 5T + -4
(-5 * -5 + T * -5) + 8T = 5T + -4
(25 + -5T) + 8T = 5T + -4

Combine like terms: -5T + 8T = 3T
25 + 3T = 5T + -4

Reorder the terms:
25 + 3T = -4 + 5T

Solving
25 + 3T = -4 + 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.
25 + 3T + -5T = -4 + 5T + -5T

Combine like terms: 3T + -5T = -2T
25 + -2T = -4 + 5T + -5T

Combine like terms: 5T + -5T = 0
25 + -2T = -4 + 0
25 + -2T = -4

Add '-25' to each side of the equation.
25 + -25 + -2T = -4 + -25

Combine like terms: 25 + -25 = 0
0 + -2T = -4 + -25
-2T = -4 + -25

Combine like terms: -4 + -25 = -29
-2T = -29

Divide each side by '-2'.
T = 14.5

Simplifying
T = 14.5

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