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

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

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

Reorder the terms:
6(-3 + 2t) + 3(t + 5) = 0
(-3 * 6 + 2t * 6) + 3(t + 5) = 0
(-18 + 12t) + 3(t + 5) = 0

Reorder the terms:
-18 + 12t + 3(5 + t) = 0
-18 + 12t + (5 * 3 + t * 3) = 0
-18 + 12t + (15 + 3t) = 0

Reorder the terms:
-18 + 15 + 12t + 3t = 0

Combine like terms: -18 + 15 = -3
-3 + 12t + 3t = 0

Combine like terms: 12t + 3t = 15t
-3 + 15t = 0

Solving
-3 + 15t = 0

Solving for variable 't'.

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

Add '3' to each side of the equation.
-3 + 3 + 15t = 0 + 3

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

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

Divide each side by '15'.
t = 0.2

Simplifying
t = 0.2