2(3t+4)+4(-2t-5)=30

Solution for 2(3t+4)+4(-2t-5)=30 equation:

Simplifying
2(3t + 4) + 4(-2t + -5) = 30

Reorder the terms:
2(4 + 3t) + 4(-2t + -5) = 30
(4 * 2 + 3t * 2) + 4(-2t + -5) = 30
(8 + 6t) + 4(-2t + -5) = 30

Reorder the terms:
8 + 6t + 4(-5 + -2t) = 30
8 + 6t + (-5 * 4 + -2t * 4) = 30
8 + 6t + (-20 + -8t) = 30

Reorder the terms:
8 + -20 + 6t + -8t = 30

Combine like terms: 8 + -20 = -12
-12 + 6t + -8t = 30

Combine like terms: 6t + -8t = -2t
-12 + -2t = 30

Solving
-12 + -2t = 30

Solving for variable 't'.

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

Add '12' to each side of the equation.
-12 + 12 + -2t = 30 + 12

Combine like terms: -12 + 12 = 0
0 + -2t = 30 + 12
-2t = 30 + 12

Combine like terms: 30 + 12 = 42
-2t = 42

Divide each side by '-2'.
t = -21

Simplifying
t = -21