(5+x+1)x+1=(8+x)x

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Solution for (5+x+1)x+1=(8+x)x equation:


Simplifying
(5 + x + 1) * x + 1 = (8 + x) * x

Reorder the terms:
(5 + 1 + x) * x + 1 = (8 + x) * x

Combine like terms: 5 + 1 = 6
(6 + x) * x + 1 = (8 + x) * x

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

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

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

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

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

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

Solving
1 + 6x = 8x

Solving for variable 'x'.

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

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

Combine like terms: 6x + -8x = -2x
1 + -2x = 8x + -8x

Combine like terms: 8x + -8x = 0
1 + -2x = 0

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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