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

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


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

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

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

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

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

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

Solving
4 + 2x = 5x

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
4 + -3x = 0

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

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

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

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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