x^2+8x=x^2+13x

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Solution for x^2+8x=x^2+13x equation:


Simplifying
x2 + 8x = x2 + 13x

Reorder the terms:
8x + x2 = x2 + 13x

Reorder the terms:
8x + x2 = 13x + x2

Add '-1x2' to each side of the equation.
8x + x2 + -1x2 = 13x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8x + 0 = 13x + x2 + -1x2
8x = 13x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8x = 13x + 0
8x = 13x

Solving
8x = 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
8x + -13x = 13x + -13x

Combine like terms: 8x + -13x = -5x
-5x = 13x + -13x

Combine like terms: 13x + -13x = 0
-5x = 0

Divide each side by '-5'.
x = 0

Simplifying
x = 0

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