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

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

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

Reorder the terms:
3(2 + 5t) + -1t = 2(t + -3)
(2 * 3 + 5t * 3) + -1t = 2(t + -3)
(6 + 15t) + -1t = 2(t + -3)

Combine like terms: 15t + -1t = 14t
6 + 14t = 2(t + -3)

Reorder the terms:
6 + 14t = 2(-3 + t)
6 + 14t = (-3 * 2 + t * 2)
6 + 14t = (-6 + 2t)

Solving
6 + 14t = -6 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
6 + 14t + -2t = -6 + 2t + -2t

Combine like terms: 14t + -2t = 12t
6 + 12t = -6 + 2t + -2t

Combine like terms: 2t + -2t = 0
6 + 12t = -6 + 0
6 + 12t = -6

Add '-6' to each side of the equation.
6 + -6 + 12t = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 12t = -6 + -6
12t = -6 + -6

Combine like terms: -6 + -6 = -12
12t = -12

Divide each side by '12'.
t = -1

Simplifying
t = -1