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

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

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

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

Reorder the terms:
-6 + 10t = 3(6 + 2t)
-6 + 10t = (6 * 3 + 2t * 3)
-6 + 10t = (18 + 6t)

Solving
-6 + 10t = 18 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
-6 + 10t + -6t = 18 + 6t + -6t

Combine like terms: 10t + -6t = 4t
-6 + 4t = 18 + 6t + -6t

Combine like terms: 6t + -6t = 0
-6 + 4t = 18 + 0
-6 + 4t = 18

Add '6' to each side of the equation.
-6 + 6 + 4t = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 4t = 18 + 6
4t = 18 + 6

Combine like terms: 18 + 6 = 24
4t = 24

Divide each side by '4'.
t = 6

Simplifying
t = 6