3t-(t-6)=5(t-3)

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

Simplifying
3t + -1(t + -6) = 5(t + -3)

Reorder the terms:
3t + -1(-6 + t) = 5(t + -3)
3t + (-6 * -1 + t * -1) = 5(t + -3)
3t + (6 + -1t) = 5(t + -3)

Reorder the terms:
6 + 3t + -1t = 5(t + -3)

Combine like terms: 3t + -1t = 2t
6 + 2t = 5(t + -3)

Reorder the terms:
6 + 2t = 5(-3 + t)
6 + 2t = (-3 * 5 + t * 5)
6 + 2t = (-15 + 5t)

Solving
6 + 2t = -15 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
6 + 2t + -5t = -15 + 5t + -5t

Combine like terms: 2t + -5t = -3t
6 + -3t = -15 + 5t + -5t

Combine like terms: 5t + -5t = 0
6 + -3t = -15 + 0
6 + -3t = -15

Add '-6' to each side of the equation.
6 + -6 + -3t = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -3t = -15 + -6
-3t = -15 + -6

Combine like terms: -15 + -6 = -21
-3t = -21

Divide each side by '-3'.
t = 7

Simplifying
t = 7