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

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


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

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

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

Reorder the terms:
-10 + 10T = 8 + -1 + 4T

Combine like terms: 8 + -1 = 7
-10 + 10T = 7 + 4T

Solving
-10 + 10T = 7 + 4T

Solving for variable 'T'.

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

Add '-4T' to each side of the equation.
-10 + 10T + -4T = 7 + 4T + -4T

Combine like terms: 10T + -4T = 6T
-10 + 6T = 7 + 4T + -4T

Combine like terms: 4T + -4T = 0
-10 + 6T = 7 + 0
-10 + 6T = 7

Add '10' to each side of the equation.
-10 + 10 + 6T = 7 + 10

Combine like terms: -10 + 10 = 0
0 + 6T = 7 + 10
6T = 7 + 10

Combine like terms: 7 + 10 = 17
6T = 17

Divide each side by '6'.
T = 2.833333333

Simplifying
T = 2.833333333

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