x(x+3)+26=(x+5)(x+2)

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Solution for x(x+3)+26=(x+5)(x+2) equation:


Simplifying
x(x + 3) + 26 = (x + 5)(x + 2)

Reorder the terms:
x(3 + x) + 26 = (x + 5)(x + 2)
(3 * x + x * x) + 26 = (x + 5)(x + 2)
(3x + x2) + 26 = (x + 5)(x + 2)

Reorder the terms:
26 + 3x + x2 = (x + 5)(x + 2)

Reorder the terms:
26 + 3x + x2 = (5 + x)(x + 2)

Reorder the terms:
26 + 3x + x2 = (5 + x)(2 + x)

Multiply (5 + x) * (2 + x)
26 + 3x + x2 = (5(2 + x) + x(2 + x))
26 + 3x + x2 = ((2 * 5 + x * 5) + x(2 + x))
26 + 3x + x2 = ((10 + 5x) + x(2 + x))
26 + 3x + x2 = (10 + 5x + (2 * x + x * x))
26 + 3x + x2 = (10 + 5x + (2x + x2))

Combine like terms: 5x + 2x = 7x
26 + 3x + x2 = (10 + 7x + x2)

Add '-1x2' to each side of the equation.
26 + 3x + x2 + -1x2 = 10 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
26 + 3x + 0 = 10 + 7x + x2 + -1x2
26 + 3x = 10 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
26 + 3x = 10 + 7x + 0
26 + 3x = 10 + 7x

Solving
26 + 3x = 10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
26 + 3x + -7x = 10 + 7x + -7x

Combine like terms: 3x + -7x = -4x
26 + -4x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
26 + -4x = 10 + 0
26 + -4x = 10

Add '-26' to each side of the equation.
26 + -26 + -4x = 10 + -26

Combine like terms: 26 + -26 = 0
0 + -4x = 10 + -26
-4x = 10 + -26

Combine like terms: 10 + -26 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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