x+8x-x-1=5(x+2)

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Solution for x+8x-x-1=5(x+2) equation:


Simplifying
x + 8x + -1x + -1 = 5(x + 2)

Reorder the terms:
-1 + x + 8x + -1x = 5(x + 2)

Combine like terms: x + 8x = 9x
-1 + 9x + -1x = 5(x + 2)

Combine like terms: 9x + -1x = 8x
-1 + 8x = 5(x + 2)

Reorder the terms:
-1 + 8x = 5(2 + x)
-1 + 8x = (2 * 5 + x * 5)
-1 + 8x = (10 + 5x)

Solving
-1 + 8x = 10 + 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.
-1 + 8x + -5x = 10 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-1 + 3x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + 3x = 10 + 0
-1 + 3x = 10

Add '1' to each side of the equation.
-1 + 1 + 3x = 10 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 10 + 1
3x = 10 + 1

Combine like terms: 10 + 1 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

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