204-3x+47+28x=25x-19+13x-16

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Solution for 204-3x+47+28x=25x-19+13x-16 equation:


Simplifying
204 + -3x + 47 + 28x = 25x + -19 + 13x + -16

Reorder the terms:
204 + 47 + -3x + 28x = 25x + -19 + 13x + -16

Combine like terms: 204 + 47 = 251
251 + -3x + 28x = 25x + -19 + 13x + -16

Combine like terms: -3x + 28x = 25x
251 + 25x = 25x + -19 + 13x + -16

Reorder the terms:
251 + 25x = -19 + -16 + 25x + 13x

Combine like terms: -19 + -16 = -35
251 + 25x = -35 + 25x + 13x

Combine like terms: 25x + 13x = 38x
251 + 25x = -35 + 38x

Solving
251 + 25x = -35 + 38x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-38x' to each side of the equation.
251 + 25x + -38x = -35 + 38x + -38x

Combine like terms: 25x + -38x = -13x
251 + -13x = -35 + 38x + -38x

Combine like terms: 38x + -38x = 0
251 + -13x = -35 + 0
251 + -13x = -35

Add '-251' to each side of the equation.
251 + -251 + -13x = -35 + -251

Combine like terms: 251 + -251 = 0
0 + -13x = -35 + -251
-13x = -35 + -251

Combine like terms: -35 + -251 = -286
-13x = -286

Divide each side by '-13'.
x = 22

Simplifying
x = 22

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