x^2+5x=x^2+2x+4

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Solution for x^2+5x=x^2+2x+4 equation:


Simplifying
x2 + 5x = x2 + 2x + 4

Reorder the terms:
5x + x2 = x2 + 2x + 4

Reorder the terms:
5x + x2 = 4 + 2x + x2

Add '-1x2' to each side of the equation.
5x + x2 + -1x2 = 4 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5x + 0 = 4 + 2x + x2 + -1x2
5x = 4 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5x = 4 + 2x + 0
5x = 4 + 2x

Solving
5x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5x + -2x = 4 + 2x + -2x

Combine like terms: 5x + -2x = 3x
3x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
3x = 4 + 0
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333

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