3(5t-2)=4(3t+6)

Solution for 3(5t-2)=4(3t+6) equation:

Simplifying
3(5t + -2) = 4(3t + 6)

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

Reorder the terms:
-6 + 15t = 4(6 + 3t)
-6 + 15t = (6 * 4 + 3t * 4)
-6 + 15t = (24 + 12t)

Solving
-6 + 15t = 24 + 12t

Solving for variable 't'.

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

Add '-12t' to each side of the equation.
-6 + 15t + -12t = 24 + 12t + -12t

Combine like terms: 15t + -12t = 3t
-6 + 3t = 24 + 12t + -12t

Combine like terms: 12t + -12t = 0
-6 + 3t = 24 + 0
-6 + 3t = 24

Add '6' to each side of the equation.
-6 + 6 + 3t = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 3t = 24 + 6
3t = 24 + 6

Combine like terms: 24 + 6 = 30
3t = 30

Divide each side by '3'.
t = 10

Simplifying
t = 10