(x+3)*(x+2)=x(x+2)+24

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Solution for (x+3)*(x+2)=x(x+2)+24 equation: 


Simplifying
(x + 3)(x + 2) = x(x + 2) + 24

Reorder the terms:
(3 + x)(x + 2) = x(x + 2) + 24

Reorder the terms:
(3 + x)(2 + x) = x(x + 2) + 24

Multiply (3 + x) * (2 + x)
(3(2 + x) + x(2 + x)) = x(x + 2) + 24
((2 * 3 + x * 3) + x(2 + x)) = x(x + 2) + 24
((6 + 3x) + x(2 + x)) = x(x + 2) + 24
(6 + 3x + (2 * x + x * x)) = x(x + 2) + 24
(6 + 3x + (2x + x2)) = x(x + 2) + 24

Combine like terms: 3x + 2x = 5x
(6 + 5x + x2) = x(x + 2) + 24

Reorder the terms:
6 + 5x + x2 = x(2 + x) + 24
6 + 5x + x2 = (2 * x + x * x) + 24
6 + 5x + x2 = (2x + x2) + 24

Reorder the terms:
6 + 5x + x2 = 24 + 2x + x2

Add '-1x2' to each side of the equation.
6 + 5x + x2 + -1x2 = 24 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + 5x + 0 = 24 + 2x + x2 + -1x2
6 + 5x = 24 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + 5x = 24 + 2x + 0
6 + 5x = 24 + 2x

Solving
6 + 5x = 24 + 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.
6 + 5x + -2x = 24 + 2x + -2x

Combine like terms: 5x + -2x = 3x
6 + 3x = 24 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 3x = 24 + 0
6 + 3x = 24

Add '-6' to each side of the equation.
6 + -6 + 3x = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 24 + -6
3x = 24 + -6

Combine like terms: 24 + -6 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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