x^2+4x+4-x^2+9=6x+9

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Solution for x^2+4x+4-x^2+9=6x+9 equation:


Simplifying
x2 + 4x + 4 + -1x2 + 9 = 6x + 9

Reorder the terms:
4 + 9 + 4x + x2 + -1x2 = 6x + 9

Combine like terms: 4 + 9 = 13
13 + 4x + x2 + -1x2 = 6x + 9

Combine like terms: x2 + -1x2 = 0
13 + 4x + 0 = 6x + 9
13 + 4x = 6x + 9

Reorder the terms:
13 + 4x = 9 + 6x

Solving
13 + 4x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
13 + 4x + -6x = 9 + 6x + -6x

Combine like terms: 4x + -6x = -2x
13 + -2x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
13 + -2x = 9 + 0
13 + -2x = 9

Add '-13' to each side of the equation.
13 + -13 + -2x = 9 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 9 + -13
-2x = 9 + -13

Combine like terms: 9 + -13 = -4
-2x = -4

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

Simplifying
x = 2

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