x(x+3)+26=(x+6)(x+2)

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Solution for x(x+3)+26=(x+6)(x+2) equation: 


Simplifying
x(x + 3) + 26 = (x + 6)(x + 2)

Reorder the terms:
x(3 + x) + 26 = (x + 6)(x + 2)
(3 * x + x * x) + 26 = (x + 6)(x + 2)
(3x + x2) + 26 = (x + 6)(x + 2)

Reorder the terms:
26 + 3x + x2 = (x + 6)(x + 2)

Reorder the terms:
26 + 3x + x2 = (6 + x)(x + 2)

Reorder the terms:
26 + 3x + x2 = (6 + x)(2 + x)

Multiply (6 + x) * (2 + x)
26 + 3x + x2 = (6(2 + x) + x(2 + x))
26 + 3x + x2 = ((2 * 6 + x * 6) + x(2 + x))
26 + 3x + x2 = ((12 + 6x) + x(2 + x))
26 + 3x + x2 = (12 + 6x + (2 * x + x * x))
26 + 3x + x2 = (12 + 6x + (2x + x2))

Combine like terms: 6x + 2x = 8x
26 + 3x + x2 = (12 + 8x + x2)

Add '-1x2' to each side of the equation.
26 + 3x + x2 + -1x2 = 12 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
26 + 3x + 0 = 12 + 8x + x2 + -1x2
26 + 3x = 12 + 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
26 + 3x = 12 + 8x + 0
26 + 3x = 12 + 8x

Solving
26 + 3x = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
26 + 3x + -8x = 12 + 8x + -8x

Combine like terms: 3x + -8x = -5x
26 + -5x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
26 + -5x = 12 + 0
26 + -5x = 12

Add '-26' to each side of the equation.
26 + -26 + -5x = 12 + -26

Combine like terms: 26 + -26 = 0
0 + -5x = 12 + -26
-5x = 12 + -26

Combine like terms: 12 + -26 = -14
-5x = -14

Divide each side by '-5'.
x = 2.8

Simplifying
x = 2.8

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