x^2+3x=x^2+x+2

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Solution for x^2+3x=x^2+x+2 equation:


Simplifying
x2 + 3x = x2 + x + 2

Reorder the terms:
3x + x2 = x2 + x + 2

Reorder the terms:
3x + x2 = 2 + x + x2

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

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

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

Solving
3x = 2 + x

Solving for variable 'x'.

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

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

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

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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