12(t-6)+3t=5(3t+4)-8

Solution for 12(t-6)+3t=5(3t+4)-8 equation:

Simplifying
12(t + -6) + 3t = 5(3t + 4) + -8

Reorder the terms:
12(-6 + t) + 3t = 5(3t + 4) + -8
(-6 * 12 + t * 12) + 3t = 5(3t + 4) + -8
(-72 + 12t) + 3t = 5(3t + 4) + -8

Combine like terms: 12t + 3t = 15t
-72 + 15t = 5(3t + 4) + -8

Reorder the terms:
-72 + 15t = 5(4 + 3t) + -8
-72 + 15t = (4 * 5 + 3t * 5) + -8
-72 + 15t = (20 + 15t) + -8

Reorder the terms:
-72 + 15t = 20 + -8 + 15t

Combine like terms: 20 + -8 = 12
-72 + 15t = 12 + 15t

Add '-15t' to each side of the equation.
-72 + 15t + -15t = 12 + 15t + -15t

Combine like terms: 15t + -15t = 0
-72 + 0 = 12 + 15t + -15t
-72 = 12 + 15t + -15t

Combine like terms: 15t + -15t = 0
-72 = 12 + 0
-72 = 12

Solving
-72 = 12

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.