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

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

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

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

Reorder the terms:
-6 + 4t = 5(3 + 2t)
-6 + 4t = (3 * 5 + 2t * 5)
-6 + 4t = (15 + 10t)

Solving
-6 + 4t = 15 + 10t

Solving for variable 't'.

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

Add '-10t' to each side of the equation.
-6 + 4t + -10t = 15 + 10t + -10t

Combine like terms: 4t + -10t = -6t
-6 + -6t = 15 + 10t + -10t

Combine like terms: 10t + -10t = 0
-6 + -6t = 15 + 0
-6 + -6t = 15

Add '6' to each side of the equation.
-6 + 6 + -6t = 15 + 6

Combine like terms: -6 + 6 = 0
0 + -6t = 15 + 6
-6t = 15 + 6

Combine like terms: 15 + 6 = 21
-6t = 21

Divide each side by '-6'.
t = -3.5

Simplifying
t = -3.5