(x+1)(x+2)=x(x+2)+4

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Solution for (x+1)(x+2)=x(x+2)+4 equation: 


Simplifying
(x + 1)(x + 2) = x(x + 2) + 4

Reorder the terms:
(1 + x)(x + 2) = x(x + 2) + 4

Reorder the terms:
(1 + x)(2 + x) = x(x + 2) + 4

Multiply (1 + x) * (2 + x)
(1(2 + x) + x(2 + x)) = x(x + 2) + 4
((2 * 1 + x * 1) + x(2 + x)) = x(x + 2) + 4
((2 + 1x) + x(2 + x)) = x(x + 2) + 4
(2 + 1x + (2 * x + x * x)) = x(x + 2) + 4
(2 + 1x + (2x + x2)) = x(x + 2) + 4

Combine like terms: 1x + 2x = 3x
(2 + 3x + x2) = x(x + 2) + 4

Reorder the terms:
2 + 3x + x2 = x(2 + x) + 4
2 + 3x + x2 = (2 * x + x * x) + 4
2 + 3x + x2 = (2x + x2) + 4

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

Add '-1x2' to each side of the equation.
2 + 3x + x2 + -1x2 = 4 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + 3x + 0 = 4 + 2x + x2 + -1x2
2 + 3x = 4 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + 3x = 4 + 2x + 0
2 + 3x = 4 + 2x

Solving
2 + 3x = 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.
2 + 3x + -2x = 4 + 2x + -2x

Combine like terms: 3x + -2x = 1x
2 + 1x = 4 + 2x + -2x

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

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

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

Combine like terms: 4 + -2 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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