x^2+5x+20=x^2+6+3x

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Solution for x^2+5x+20=x^2+6+3x equation: 


Simplifying
x2 + 5x + 20 = x2 + 6 + 3x

Reorder the terms:
20 + 5x + x2 = x2 + 6 + 3x

Reorder the terms:
20 + 5x + x2 = 6 + 3x + x2

Add '-1x2' to each side of the equation.
20 + 5x + x2 + -1x2 = 6 + 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
20 + 5x + 0 = 6 + 3x + x2 + -1x2
20 + 5x = 6 + 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
20 + 5x = 6 + 3x + 0
20 + 5x = 6 + 3x

Solving
20 + 5x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + 5x + -3x = 6 + 3x + -3x

Combine like terms: 5x + -3x = 2x
20 + 2x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + 2x = 6 + 0
20 + 2x = 6

Add '-20' to each side of the equation.
20 + -20 + 2x = 6 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 6 + -20
2x = 6 + -20

Combine like terms: 6 + -20 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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