x^2+12x=x^2+7x

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Solution for x^2+12x=x^2+7x equation:


Simplifying
x2 + 12x = x2 + 7x

Reorder the terms:
12x + x2 = x2 + 7x

Reorder the terms:
12x + x2 = 7x + x2

Add '-1x2' to each side of the equation.
12x + x2 + -1x2 = 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12x + 0 = 7x + x2 + -1x2
12x = 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12x = 7x + 0
12x = 7x

Solving
12x = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
12x + -7x = 7x + -7x

Combine like terms: 12x + -7x = 5x
5x = 7x + -7x

Combine like terms: 7x + -7x = 0
5x = 0

Divide each side by '5'.
x = 0

Simplifying
x = 0

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