-3(t-2)+5t=7t-(t-6)

Solution for -3(t-2)+5t=7t-(t-6) equation:

Simplifying
-3(t + -2) + 5t = 7t + -1(t + -6)

Reorder the terms:
-3(-2 + t) + 5t = 7t + -1(t + -6)
(-2 * -3 + t * -3) + 5t = 7t + -1(t + -6)
(6 + -3t) + 5t = 7t + -1(t + -6)

Combine like terms: -3t + 5t = 2t
6 + 2t = 7t + -1(t + -6)

Reorder the terms:
6 + 2t = 7t + -1(-6 + t)
6 + 2t = 7t + (-6 * -1 + t * -1)
6 + 2t = 7t + (6 + -1t)

Reorder the terms:
6 + 2t = 6 + 7t + -1t

Combine like terms: 7t + -1t = 6t
6 + 2t = 6 + 6t

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

Combine like terms: 6 + -6 = 0
0 + 2t = 6 + -6 + 6t
2t = 6 + -6 + 6t

Combine like terms: 6 + -6 = 0
2t = 0 + 6t
2t = 6t

Solving
2t = 6t

Solving for variable 't'.

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

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

Combine like terms: 2t + -6t = -4t
-4t = 6t + -6t

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

Divide each side by '-4'.
t = 0

Simplifying
t = 0