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

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

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

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

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

Reorder the terms:
11 + 4T = 2T + -3(-4 + T)
11 + 4T = 2T + (-4 * -3 + T * -3)
11 + 4T = 2T + (12 + -3T)

Reorder the terms:
11 + 4T = 12 + 2T + -3T

Combine like terms: 2T + -3T = -1T
11 + 4T = 12 + -1T

Solving
11 + 4T = 12 + -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 = 12 + -1T + T

Combine like terms: 4T + T = 5T
11 + 5T = 12 + -1T + T

Combine like terms: -1T + T = 0
11 + 5T = 12 + 0
11 + 5T = 12

Add '-11' to each side of the equation.
11 + -11 + 5T = 12 + -11

Combine like terms: 11 + -11 = 0
0 + 5T = 12 + -11
5T = 12 + -11

Combine like terms: 12 + -11 = 1
5T = 1

Divide each side by '5'.
T = 0.2

Simplifying
T = 0.2