6(2t-1)+15=4t+3(t+3)

Solution for 6(2t-1)+15=4t+3(t+3) equation:

Simplifying
6(2t + -1) + 15 = 4t + 3(t + 3)

Reorder the terms:
6(-1 + 2t) + 15 = 4t + 3(t + 3)
(-1 * 6 + 2t * 6) + 15 = 4t + 3(t + 3)
(-6 + 12t) + 15 = 4t + 3(t + 3)

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

Combine like terms: -6 + 15 = 9
9 + 12t = 4t + 3(t + 3)

Reorder the terms:
9 + 12t = 4t + 3(3 + t)
9 + 12t = 4t + (3 * 3 + t * 3)
9 + 12t = 4t + (9 + 3t)

Reorder the terms:
9 + 12t = 9 + 4t + 3t

Combine like terms: 4t + 3t = 7t
9 + 12t = 9 + 7t

Add '-9' to each side of the equation.
9 + -9 + 12t = 9 + -9 + 7t

Combine like terms: 9 + -9 = 0
0 + 12t = 9 + -9 + 7t
12t = 9 + -9 + 7t

Combine like terms: 9 + -9 = 0
12t = 0 + 7t
12t = 7t

Solving
12t = 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
12t + -7t = 7t + -7t

Combine like terms: 12t + -7t = 5t
5t = 7t + -7t

Combine like terms: 7t + -7t = 0
5t = 0

Divide each side by '5'.
t = 0

Simplifying
t = 0