x^2-3x+16=x^2+2x+1

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Solution for x^2-3x+16=x^2+2x+1 equation: 


Simplifying
x2 + -3x + 16 = x2 + 2x + 1

Reorder the terms:
16 + -3x + x2 = x2 + 2x + 1

Reorder the terms:
16 + -3x + x2 = 1 + 2x + x2

Add '-1x2' to each side of the equation.
16 + -3x + x2 + -1x2 = 1 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + -3x + 0 = 1 + 2x + x2 + -1x2
16 + -3x = 1 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + -3x = 1 + 2x + 0
16 + -3x = 1 + 2x

Solving
16 + -3x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
16 + -3x + -2x = 1 + 2x + -2x

Combine like terms: -3x + -2x = -5x
16 + -5x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + -5x = 1 + 0
16 + -5x = 1

Add '-16' to each side of the equation.
16 + -16 + -5x = 1 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = 1 + -16
-5x = 1 + -16

Combine like terms: 1 + -16 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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