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

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


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

Reorder the terms:
10(-3 + t) + 5t = 5(3t + 5) + -13
(-3 * 10 + t * 10) + 5t = 5(3t + 5) + -13
(-30 + 10t) + 5t = 5(3t + 5) + -13

Combine like terms: 10t + 5t = 15t
-30 + 15t = 5(3t + 5) + -13

Reorder the terms:
-30 + 15t = 5(5 + 3t) + -13
-30 + 15t = (5 * 5 + 3t * 5) + -13
-30 + 15t = (25 + 15t) + -13

Reorder the terms:
-30 + 15t = 25 + -13 + 15t

Combine like terms: 25 + -13 = 12
-30 + 15t = 12 + 15t

Add '-15t' to each side of the equation.
-30 + 15t + -15t = 12 + 15t + -15t

Combine like terms: 15t + -15t = 0
-30 + 0 = 12 + 15t + -15t
-30 = 12 + 15t + -15t

Combine like terms: 15t + -15t = 0
-30 = 12 + 0
-30 = 12

Solving
-30 = 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.

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