4T-3(t-2)=t-6

Solution for 4T-3(t-2)=t-6 equation:

Simplifying
4T + -3(t + -2) = t + -6

Reorder the terms:
4T + -3(-2 + t) = t + -6
4T + (-2 * -3 + t * -3) = t + -6
4T + (6 + -3t) = t + -6

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

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

Solving
6 + 4T + -3t = -6 + t

Solving for variable 'T'.

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

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

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

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

Combine like terms: -6 + -6 = -12
4T + -3t = -12 + t

Add '3t' to each side of the equation.
4T + -3t + 3t = -12 + t + 3t

Combine like terms: -3t + 3t = 0
4T + 0 = -12 + t + 3t
4T = -12 + t + 3t

Combine like terms: t + 3t = 4t
4T = -12 + 4t

Divide each side by '4'.
T = -3 + t

Simplifying
T = -3 + t