2(3T+1)-6=T-(T+3)

Solution for 2(3T+1)-6=T-(T+3) equation:

Simplifying
2(3T + 1) + -6 = T + -1(T + 3)

Reorder the terms:
2(1 + 3T) + -6 = T + -1(T + 3)
(1 * 2 + 3T * 2) + -6 = T + -1(T + 3)
(2 + 6T) + -6 = T + -1(T + 3)

Reorder the terms:
2 + -6 + 6T = T + -1(T + 3)

Combine like terms: 2 + -6 = -4
-4 + 6T = T + -1(T + 3)

Reorder the terms:
-4 + 6T = T + -1(3 + T)
-4 + 6T = T + (3 * -1 + T * -1)
-4 + 6T = T + (-3 + -1T)

Reorder the terms:
-4 + 6T = -3 + T + -1T

Combine like terms: T + -1T = 0
-4 + 6T = -3 + 0
-4 + 6T = -3

Solving
-4 + 6T = -3

Solving for variable 'T'.

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

Add '4' to each side of the equation.
-4 + 4 + 6T = -3 + 4

Combine like terms: -4 + 4 = 0
0 + 6T = -3 + 4
6T = -3 + 4

Combine like terms: -3 + 4 = 1
6T = 1

Divide each side by '6'.
T = 0.1666666667

Simplifying
T = 0.1666666667