(x+5)(x+1)+102=(x+11)(x+4)

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Solution for (x+5)(x+1)+102=(x+11)(x+4) equation: 


Simplifying
(x + 5)(x + 1) + 102 = (x + 11)(x + 4)

Reorder the terms:
(5 + x)(x + 1) + 102 = (x + 11)(x + 4)

Reorder the terms:
(5 + x)(1 + x) + 102 = (x + 11)(x + 4)

Multiply (5 + x) * (1 + x)
(5(1 + x) + x(1 + x)) + 102 = (x + 11)(x + 4)
((1 * 5 + x * 5) + x(1 + x)) + 102 = (x + 11)(x + 4)
((5 + 5x) + x(1 + x)) + 102 = (x + 11)(x + 4)
(5 + 5x + (1 * x + x * x)) + 102 = (x + 11)(x + 4)
(5 + 5x + (1x + x2)) + 102 = (x + 11)(x + 4)

Combine like terms: 5x + 1x = 6x
(5 + 6x + x2) + 102 = (x + 11)(x + 4)

Reorder the terms:
5 + 102 + 6x + x2 = (x + 11)(x + 4)

Combine like terms: 5 + 102 = 107
107 + 6x + x2 = (x + 11)(x + 4)

Reorder the terms:
107 + 6x + x2 = (11 + x)(x + 4)

Reorder the terms:
107 + 6x + x2 = (11 + x)(4 + x)

Multiply (11 + x) * (4 + x)
107 + 6x + x2 = (11(4 + x) + x(4 + x))
107 + 6x + x2 = ((4 * 11 + x * 11) + x(4 + x))
107 + 6x + x2 = ((44 + 11x) + x(4 + x))
107 + 6x + x2 = (44 + 11x + (4 * x + x * x))
107 + 6x + x2 = (44 + 11x + (4x + x2))

Combine like terms: 11x + 4x = 15x
107 + 6x + x2 = (44 + 15x + x2)

Add '-1x2' to each side of the equation.
107 + 6x + x2 + -1x2 = 44 + 15x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
107 + 6x + 0 = 44 + 15x + x2 + -1x2
107 + 6x = 44 + 15x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
107 + 6x = 44 + 15x + 0
107 + 6x = 44 + 15x

Solving
107 + 6x = 44 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
107 + 6x + -15x = 44 + 15x + -15x

Combine like terms: 6x + -15x = -9x
107 + -9x = 44 + 15x + -15x

Combine like terms: 15x + -15x = 0
107 + -9x = 44 + 0
107 + -9x = 44

Add '-107' to each side of the equation.
107 + -107 + -9x = 44 + -107

Combine like terms: 107 + -107 = 0
0 + -9x = 44 + -107
-9x = 44 + -107

Combine like terms: 44 + -107 = -63
-9x = -63

Divide each side by '-9'.
x = 7

Simplifying
x = 7

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