10(t-2)+5t=5(3t+4)-13

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Solution for 10(t-2)+5t=5(3t+4)-13 equation: 


Simplifying
10(t + -2) + 5t = 5(3t + 4) + -13

Reorder the terms:
10(-2 + t) + 5t = 5(3t + 4) + -13
(-2 * 10 + t * 10) + 5t = 5(3t + 4) + -13
(-20 + 10t) + 5t = 5(3t + 4) + -13

Combine like terms: 10t + 5t = 15t
-20 + 15t = 5(3t + 4) + -13

Reorder the terms:
-20 + 15t = 5(4 + 3t) + -13
-20 + 15t = (4 * 5 + 3t * 5) + -13
-20 + 15t = (20 + 15t) + -13

Reorder the terms:
-20 + 15t = 20 + -13 + 15t

Combine like terms: 20 + -13 = 7
-20 + 15t = 7 + 15t

Add '-15t' to each side of the equation.
-20 + 15t + -15t = 7 + 15t + -15t

Combine like terms: 15t + -15t = 0
-20 + 0 = 7 + 15t + -15t
-20 = 7 + 15t + -15t

Combine like terms: 15t + -15t = 0
-20 = 7 + 0
-20 = 7

Solving
-20 = 7

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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