6-3(5-2T)=3(t-1)

Solution for 6-3(5-2T)=3(t-1) equation:

Simplifying
6 + -3(5 + -2T) = 3(t + -1)
6 + (5 * -3 + -2T * -3) = 3(t + -1)
6 + (-15 + 6T) = 3(t + -1)

Combine like terms: 6 + -15 = -9
-9 + 6T = 3(t + -1)

Reorder the terms:
-9 + 6T = 3(-1 + t)
-9 + 6T = (-1 * 3 + t * 3)
-9 + 6T = (-3 + 3t)

Solving
-9 + 6T = -3 + 3t

Solving for variable 'T'.

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

Add '9' to each side of the equation.
-9 + 9 + 6T = -3 + 9 + 3t

Combine like terms: -9 + 9 = 0
0 + 6T = -3 + 9 + 3t
6T = -3 + 9 + 3t

Combine like terms: -3 + 9 = 6
6T = 6 + 3t

Divide each side by '6'.
T = 1 + 0.5t

Simplifying
T = 1 + 0.5t