x(x+12)=x(x+14)+12

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Solution for x(x+12)=x(x+14)+12 equation: 


Simplifying
x(x + 12) = x(x + 14) + 12

Reorder the terms:
x(12 + x) = x(x + 14) + 12
(12 * x + x * x) = x(x + 14) + 12
(12x + x2) = x(x + 14) + 12

Reorder the terms:
12x + x2 = x(14 + x) + 12
12x + x2 = (14 * x + x * x) + 12
12x + x2 = (14x + x2) + 12

Reorder the terms:
12x + x2 = 12 + 14x + x2

Add '-1x2' to each side of the equation.
12x + x2 + -1x2 = 12 + 14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12x + 0 = 12 + 14x + x2 + -1x2
12x = 12 + 14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12x = 12 + 14x + 0
12x = 12 + 14x

Solving
12x = 12 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
12x + -14x = 12 + 14x + -14x

Combine like terms: 12x + -14x = -2x
-2x = 12 + 14x + -14x

Combine like terms: 14x + -14x = 0
-2x = 12 + 0
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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