13(t-3)+5t=6(3t+5)-10

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Solution for 13(t-3)+5t=6(3t+5)-10 equation: 


Simplifying
13(t + -3) + 5t = 6(3t + 5) + -10

Reorder the terms:
13(-3 + t) + 5t = 6(3t + 5) + -10
(-3 * 13 + t * 13) + 5t = 6(3t + 5) + -10
(-39 + 13t) + 5t = 6(3t + 5) + -10

Combine like terms: 13t + 5t = 18t
-39 + 18t = 6(3t + 5) + -10

Reorder the terms:
-39 + 18t = 6(5 + 3t) + -10
-39 + 18t = (5 * 6 + 3t * 6) + -10
-39 + 18t = (30 + 18t) + -10

Reorder the terms:
-39 + 18t = 30 + -10 + 18t

Combine like terms: 30 + -10 = 20
-39 + 18t = 20 + 18t

Add '-18t' to each side of the equation.
-39 + 18t + -18t = 20 + 18t + -18t

Combine like terms: 18t + -18t = 0
-39 + 0 = 20 + 18t + -18t
-39 = 20 + 18t + -18t

Combine like terms: 18t + -18t = 0
-39 = 20 + 0
-39 = 20

Solving
-39 = 20

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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