x^2+3x+2x+6=x^2-10

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Solution for x^2+3x+2x+6=x^2-10 equation:


Simplifying
x2 + 3x + 2x + 6 = x2 + -10

Reorder the terms:
6 + 3x + 2x + x2 = x2 + -10

Combine like terms: 3x + 2x = 5x
6 + 5x + x2 = x2 + -10

Reorder the terms:
6 + 5x + x2 = -10 + x2

Add '-1x2' to each side of the equation.
6 + 5x + x2 + -1x2 = -10 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + 5x + 0 = -10 + x2 + -1x2
6 + 5x = -10 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + 5x = -10 + 0
6 + 5x = -10

Solving
6 + 5x = -10

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 5x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = -10 + -6
5x = -10 + -6

Combine like terms: -10 + -6 = -16
5x = -16

Divide each side by '5'.
x = -3.2

Simplifying
x = -3.2

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