x(x+1)+16=x(x+5)

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Solution for x(x+1)+16=x(x+5) equation:


Simplifying
x(x + 1) + 16 = x(x + 5)

Reorder the terms:
x(1 + x) + 16 = x(x + 5)
(1 * x + x * x) + 16 = x(x + 5)
(1x + x2) + 16 = x(x + 5)

Reorder the terms:
16 + 1x + x2 = x(x + 5)

Reorder the terms:
16 + 1x + x2 = x(5 + x)
16 + 1x + x2 = (5 * x + x * x)
16 + 1x + x2 = (5x + x2)

Add '-1x2' to each side of the equation.
16 + 1x + x2 + -1x2 = 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 1x + 0 = 5x + x2 + -1x2
16 + 1x = 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 1x = 5x + 0
16 + 1x = 5x

Solving
16 + 1x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
16 + 1x + -5x = 5x + -5x

Combine like terms: 1x + -5x = -4x
16 + -4x = 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -4x = 0

Add '-16' to each side of the equation.
16 + -16 + -4x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = 0 + -16
-4x = 0 + -16

Combine like terms: 0 + -16 = -16
-4x = -16

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

Simplifying
x = 4

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