5(T-3)-1(T-1)=1(T+3)-10

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Solution for 5(T-3)-1(T-1)=1(T+3)-10 equation: 


Simplifying
5(T + -3) + -1(T + -1) = 1(T + 3) + -10

Reorder the terms:
5(-3 + T) + -1(T + -1) = 1(T + 3) + -10
(-3 * 5 + T * 5) + -1(T + -1) = 1(T + 3) + -10
(-15 + 5T) + -1(T + -1) = 1(T + 3) + -10

Reorder the terms:
-15 + 5T + -1(-1 + T) = 1(T + 3) + -10
-15 + 5T + (-1 * -1 + T * -1) = 1(T + 3) + -10
-15 + 5T + (1 + -1T) = 1(T + 3) + -10

Reorder the terms:
-15 + 1 + 5T + -1T = 1(T + 3) + -10

Combine like terms: -15 + 1 = -14
-14 + 5T + -1T = 1(T + 3) + -10

Combine like terms: 5T + -1T = 4T
-14 + 4T = 1(T + 3) + -10

Reorder the terms:
-14 + 4T = 1(3 + T) + -10
-14 + 4T = (3 * 1 + T * 1) + -10
-14 + 4T = (3 + 1T) + -10

Reorder the terms:
-14 + 4T = 3 + -10 + 1T

Combine like terms: 3 + -10 = -7
-14 + 4T = -7 + 1T

Solving
-14 + 4T = -7 + 1T

Solving for variable 'T'.

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

Add '-1T' to each side of the equation.
-14 + 4T + -1T = -7 + 1T + -1T

Combine like terms: 4T + -1T = 3T
-14 + 3T = -7 + 1T + -1T

Combine like terms: 1T + -1T = 0
-14 + 3T = -7 + 0
-14 + 3T = -7

Add '14' to each side of the equation.
-14 + 14 + 3T = -7 + 14

Combine like terms: -14 + 14 = 0
0 + 3T = -7 + 14
3T = -7 + 14

Combine like terms: -7 + 14 = 7
3T = 7

Divide each side by '3'.
T = 2.333333333

Simplifying
T = 2.333333333

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