x^2+x+x+5=2x+10

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Solution for x^2+x+x+5=2x+10 equation:


Simplifying
x2 + x + x + 5 = 2x + 10

Reorder the terms:
5 + x + x + x2 = 2x + 10

Combine like terms: x + x = 2x
5 + 2x + x2 = 2x + 10

Reorder the terms:
5 + 2x + x2 = 10 + 2x

Add '-2x' to each side of the equation.
5 + 2x + -2x + x2 = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 0 + x2 = 10 + 2x + -2x
5 + x2 = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + x2 = 10 + 0
5 + x2 = 10

Solving
5 + x2 = 10

Solving for variable 'x'.

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

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

Combine like terms: 5 + -5 = 0
0 + x2 = 10 + -5
x2 = 10 + -5

Combine like terms: 10 + -5 = 5
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}

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