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

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

Simplifying
-2(6t + 3) + 5(t + -3) = 0

Reorder the terms:
-2(3 + 6t) + 5(t + -3) = 0
(3 * -2 + 6t * -2) + 5(t + -3) = 0
(-6 + -12t) + 5(t + -3) = 0

Reorder the terms:
-6 + -12t + 5(-3 + t) = 0
-6 + -12t + (-3 * 5 + t * 5) = 0
-6 + -12t + (-15 + 5t) = 0

Reorder the terms:
-6 + -15 + -12t + 5t = 0

Combine like terms: -6 + -15 = -21
-21 + -12t + 5t = 0

Combine like terms: -12t + 5t = -7t
-21 + -7t = 0

Solving
-21 + -7t = 0

Solving for variable 't'.

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

Add '21' to each side of the equation.
-21 + 21 + -7t = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -7t = 0 + 21
-7t = 0 + 21

Combine like terms: 0 + 21 = 21
-7t = 21

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

Simplifying
t = -3