6(5-3x)+12=2(5x-7)-28x+54

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Solution for 6(5-3x)+12=2(5x-7)-28x+54 equation: 


Simplifying
6(5 + -3x) + 12 = 2(5x + -7) + -28x + 54
(5 * 6 + -3x * 6) + 12 = 2(5x + -7) + -28x + 54
(30 + -18x) + 12 = 2(5x + -7) + -28x + 54

Reorder the terms:
30 + 12 + -18x = 2(5x + -7) + -28x + 54

Combine like terms: 30 + 12 = 42
42 + -18x = 2(5x + -7) + -28x + 54

Reorder the terms:
42 + -18x = 2(-7 + 5x) + -28x + 54
42 + -18x = (-7 * 2 + 5x * 2) + -28x + 54
42 + -18x = (-14 + 10x) + -28x + 54

Reorder the terms:
42 + -18x = -14 + 54 + 10x + -28x

Combine like terms: -14 + 54 = 40
42 + -18x = 40 + 10x + -28x

Combine like terms: 10x + -28x = -18x
42 + -18x = 40 + -18x

Add '18x' to each side of the equation.
42 + -18x + 18x = 40 + -18x + 18x

Combine like terms: -18x + 18x = 0
42 + 0 = 40 + -18x + 18x
42 = 40 + -18x + 18x

Combine like terms: -18x + 18x = 0
42 = 40 + 0
42 = 40

Solving
42 = 40

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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