3+4(T+2)=2T-3(T-5)

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Solution for 3+4(T+2)=2T-3(T-5) equation: 


Simplifying
3 + 4(T + 2) = 2T + -3(T + -5)

Reorder the terms:
3 + 4(2 + T) = 2T + -3(T + -5)
3 + (2 * 4 + T * 4) = 2T + -3(T + -5)
3 + (8 + 4T) = 2T + -3(T + -5)

Combine like terms: 3 + 8 = 11
11 + 4T = 2T + -3(T + -5)

Reorder the terms:
11 + 4T = 2T + -3(-5 + T)
11 + 4T = 2T + (-5 * -3 + T * -3)
11 + 4T = 2T + (15 + -3T)

Reorder the terms:
11 + 4T = 15 + 2T + -3T

Combine like terms: 2T + -3T = -1T
11 + 4T = 15 + -1T

Solving
11 + 4T = 15 + -1T

Solving for variable 'T'.

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

Add 'T' to each side of the equation.
11 + 4T + T = 15 + -1T + T

Combine like terms: 4T + T = 5T
11 + 5T = 15 + -1T + T

Combine like terms: -1T + T = 0
11 + 5T = 15 + 0
11 + 5T = 15

Add '-11' to each side of the equation.
11 + -11 + 5T = 15 + -11

Combine like terms: 11 + -11 = 0
0 + 5T = 15 + -11
5T = 15 + -11

Combine like terms: 15 + -11 = 4
5T = 4

Divide each side by '5'.
T = 0.8

Simplifying
T = 0.8

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