13(t-6)+5t=6(3t+4)-13

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Solution for 13(t-6)+5t=6(3t+4)-13 equation: 


Simplifying
13(t + -6) + 5t = 6(3t + 4) + -13

Reorder the terms:
13(-6 + t) + 5t = 6(3t + 4) + -13
(-6 * 13 + t * 13) + 5t = 6(3t + 4) + -13
(-78 + 13t) + 5t = 6(3t + 4) + -13

Combine like terms: 13t + 5t = 18t
-78 + 18t = 6(3t + 4) + -13

Reorder the terms:
-78 + 18t = 6(4 + 3t) + -13
-78 + 18t = (4 * 6 + 3t * 6) + -13
-78 + 18t = (24 + 18t) + -13

Reorder the terms:
-78 + 18t = 24 + -13 + 18t

Combine like terms: 24 + -13 = 11
-78 + 18t = 11 + 18t

Add '-18t' to each side of the equation.
-78 + 18t + -18t = 11 + 18t + -18t

Combine like terms: 18t + -18t = 0
-78 + 0 = 11 + 18t + -18t
-78 = 11 + 18t + -18t

Combine like terms: 18t + -18t = 0
-78 = 11 + 0
-78 = 11

Solving
-78 = 11

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.

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