(x+8)(x)=(x+6)(x+1)

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Solution for (x+8)(x)=(x+6)(x+1) equation:


Simplifying
(x + 8)(x) = (x + 6)(x + 1)

Reorder the terms:
(8 + x)(x) = (x + 6)(x + 1)

Reorder the terms for easier multiplication:
x(8 + x) = (x + 6)(x + 1)
(8 * x + x * x) = (x + 6)(x + 1)
(8x + x2) = (x + 6)(x + 1)

Reorder the terms:
8x + x2 = (6 + x)(x + 1)

Reorder the terms:
8x + x2 = (6 + x)(1 + x)

Multiply (6 + x) * (1 + x)
8x + x2 = (6(1 + x) + x(1 + x))
8x + x2 = ((1 * 6 + x * 6) + x(1 + x))
8x + x2 = ((6 + 6x) + x(1 + x))
8x + x2 = (6 + 6x + (1 * x + x * x))
8x + x2 = (6 + 6x + (1x + x2))

Combine like terms: 6x + 1x = 7x
8x + x2 = (6 + 7x + x2)

Add '-1x2' to each side of the equation.
8x + x2 + -1x2 = 6 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8x + 0 = 6 + 7x + x2 + -1x2
8x = 6 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8x = 6 + 7x + 0
8x = 6 + 7x

Solving
8x = 6 + 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.
8x + -7x = 6 + 7x + -7x

Combine like terms: 8x + -7x = 1x
1x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
1x = 6 + 0
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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