x^2+3x=x^2-4x+3

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Solution for x^2+3x=x^2-4x+3 equation:


Simplifying
x2 + 3x = x2 + -4x + 3

Reorder the terms:
3x + x2 = x2 + -4x + 3

Reorder the terms:
3x + x2 = 3 + -4x + x2

Add '-1x2' to each side of the equation.
3x + x2 + -1x2 = 3 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3x + 0 = 3 + -4x + x2 + -1x2
3x = 3 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3x = 3 + -4x + 0
3x = 3 + -4x

Solving
3x = 3 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
3x + 4x = 3 + -4x + 4x

Combine like terms: 3x + 4x = 7x
7x = 3 + -4x + 4x

Combine like terms: -4x + 4x = 0
7x = 3 + 0
7x = 3

Divide each side by '7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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