x^2+16-2x-5=x^2-1

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Solution for x^2+16-2x-5=x^2-1 equation:


Simplifying
x2 + 16 + -2x + -5 = x2 + -1

Reorder the terms:
16 + -5 + -2x + x2 = x2 + -1

Combine like terms: 16 + -5 = 11
11 + -2x + x2 = x2 + -1

Reorder the terms:
11 + -2x + x2 = -1 + x2

Add '-1x2' to each side of the equation.
11 + -2x + x2 + -1x2 = -1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
11 + -2x + 0 = -1 + x2 + -1x2
11 + -2x = -1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
11 + -2x = -1 + 0
11 + -2x = -1

Solving
11 + -2x = -1

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -2x = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = -1 + -11
-2x = -1 + -11

Combine like terms: -1 + -11 = -12
-2x = -12

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

Simplifying
x = 6

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