x^2+4x+4-2x+3=x^2+10

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Solution for x^2+4x+4-2x+3=x^2+10 equation:


Simplifying
x2 + 4x + 4 + -2x + 3 = x2 + 10

Reorder the terms:
4 + 3 + 4x + -2x + x2 = x2 + 10

Combine like terms: 4 + 3 = 7
7 + 4x + -2x + x2 = x2 + 10

Combine like terms: 4x + -2x = 2x
7 + 2x + x2 = x2 + 10

Reorder the terms:
7 + 2x + x2 = 10 + x2

Add '-1x2' to each side of the equation.
7 + 2x + x2 + -1x2 = 10 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
7 + 2x + 0 = 10 + x2 + -1x2
7 + 2x = 10 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
7 + 2x = 10 + 0
7 + 2x = 10

Solving
7 + 2x = 10

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 2x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 10 + -7
2x = 10 + -7

Combine like terms: 10 + -7 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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