(x+4)(x+7)=(x+11)(x+1)

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Solution for (x+4)(x+7)=(x+11)(x+1) equation: 


Simplifying
(x + 4)(x + 7) = (x + 11)(x + 1)

Reorder the terms:
(4 + x)(x + 7) = (x + 11)(x + 1)

Reorder the terms:
(4 + x)(7 + x) = (x + 11)(x + 1)

Multiply (4 + x) * (7 + x)
(4(7 + x) + x(7 + x)) = (x + 11)(x + 1)
((7 * 4 + x * 4) + x(7 + x)) = (x + 11)(x + 1)
((28 + 4x) + x(7 + x)) = (x + 11)(x + 1)
(28 + 4x + (7 * x + x * x)) = (x + 11)(x + 1)
(28 + 4x + (7x + x2)) = (x + 11)(x + 1)

Combine like terms: 4x + 7x = 11x
(28 + 11x + x2) = (x + 11)(x + 1)

Reorder the terms:
28 + 11x + x2 = (11 + x)(x + 1)

Reorder the terms:
28 + 11x + x2 = (11 + x)(1 + x)

Multiply (11 + x) * (1 + x)
28 + 11x + x2 = (11(1 + x) + x(1 + x))
28 + 11x + x2 = ((1 * 11 + x * 11) + x(1 + x))
28 + 11x + x2 = ((11 + 11x) + x(1 + x))
28 + 11x + x2 = (11 + 11x + (1 * x + x * x))
28 + 11x + x2 = (11 + 11x + (1x + x2))

Combine like terms: 11x + 1x = 12x
28 + 11x + x2 = (11 + 12x + x2)

Add '-1x2' to each side of the equation.
28 + 11x + x2 + -1x2 = 11 + 12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
28 + 11x + 0 = 11 + 12x + x2 + -1x2
28 + 11x = 11 + 12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
28 + 11x = 11 + 12x + 0
28 + 11x = 11 + 12x

Solving
28 + 11x = 11 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
28 + 11x + -12x = 11 + 12x + -12x

Combine like terms: 11x + -12x = -1x
28 + -1x = 11 + 12x + -12x

Combine like terms: 12x + -12x = 0
28 + -1x = 11 + 0
28 + -1x = 11

Add '-28' to each side of the equation.
28 + -28 + -1x = 11 + -28

Combine like terms: 28 + -28 = 0
0 + -1x = 11 + -28
-1x = 11 + -28

Combine like terms: 11 + -28 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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