x^2+14x=x^2-5x

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Solution for x^2+14x=x^2-5x equation:


Simplifying
x2 + 14x = x2 + -5x

Reorder the terms:
14x + x2 = x2 + -5x

Reorder the terms:
14x + x2 = -5x + x2

Add '-1x2' to each side of the equation.
14x + x2 + -1x2 = -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
14x + 0 = -5x + x2 + -1x2
14x = -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
14x = -5x + 0
14x = -5x

Solving
14x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
14x + 5x = -5x + 5x

Combine like terms: 14x + 5x = 19x
19x = -5x + 5x

Combine like terms: -5x + 5x = 0
19x = 0

Divide each side by '19'.
x = 0

Simplifying
x = 0

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