x^2+5x=x^2+6x

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Solution for x^2+5x=x^2+6x equation:


Simplifying
x2 + 5x = x2 + 6x

Reorder the terms:
5x + x2 = x2 + 6x

Reorder the terms:
5x + x2 = 6x + x2

Add '-1x2' to each side of the equation.
5x + x2 + -1x2 = 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5x + 0 = 6x + x2 + -1x2
5x = 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5x = 6x + 0
5x = 6x

Solving
5x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5x + -6x = 6x + -6x

Combine like terms: 5x + -6x = -1x
-1x = 6x + -6x

Combine like terms: 6x + -6x = 0
-1x = 0

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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