7(t-6)+3t=5(2t+3)-12

Solution for 7(t-6)+3t=5(2t+3)-12 equation:

Simplifying
7(t + -6) + 3t = 5(2t + 3) + -12

Reorder the terms:
7(-6 + t) + 3t = 5(2t + 3) + -12
(-6 * 7 + t * 7) + 3t = 5(2t + 3) + -12
(-42 + 7t) + 3t = 5(2t + 3) + -12

Combine like terms: 7t + 3t = 10t
-42 + 10t = 5(2t + 3) + -12

Reorder the terms:
-42 + 10t = 5(3 + 2t) + -12
-42 + 10t = (3 * 5 + 2t * 5) + -12
-42 + 10t = (15 + 10t) + -12

Reorder the terms:
-42 + 10t = 15 + -12 + 10t

Combine like terms: 15 + -12 = 3
-42 + 10t = 3 + 10t

Add '-10t' to each side of the equation.
-42 + 10t + -10t = 3 + 10t + -10t

Combine like terms: 10t + -10t = 0
-42 + 0 = 3 + 10t + -10t
-42 = 3 + 10t + -10t

Combine like terms: 10t + -10t = 0
-42 = 3 + 0
-42 = 3

Solving
-42 = 3

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.