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

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

Simplifying
2(2t + -3) + 5(3t + -4) = 0

Reorder the terms:
2(-3 + 2t) + 5(3t + -4) = 0
(-3 * 2 + 2t * 2) + 5(3t + -4) = 0
(-6 + 4t) + 5(3t + -4) = 0

Reorder the terms:
-6 + 4t + 5(-4 + 3t) = 0
-6 + 4t + (-4 * 5 + 3t * 5) = 0
-6 + 4t + (-20 + 15t) = 0

Reorder the terms:
-6 + -20 + 4t + 15t = 0

Combine like terms: -6 + -20 = -26
-26 + 4t + 15t = 0

Combine like terms: 4t + 15t = 19t
-26 + 19t = 0

Solving
-26 + 19t = 0

Solving for variable 't'.

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

Add '26' to each side of the equation.
-26 + 26 + 19t = 0 + 26

Combine like terms: -26 + 26 = 0
0 + 19t = 0 + 26
19t = 0 + 26

Combine like terms: 0 + 26 = 26
19t = 26

Divide each side by '19'.
t = 1.368421053

Simplifying
t = 1.368421053