5x+y+1=-9+8y-x

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Solution for 5x+y+1=-9+8y-x equation:


Simplifying
5x + y + 1 = -9 + 8y + -1x

Reorder the terms:
1 + 5x + y = -9 + 8y + -1x

Reorder the terms:
1 + 5x + y = -9 + -1x + 8y

Solving
1 + 5x + y = -9 + -1x + 8y

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1 + 5x + x + y = -9 + -1x + x + 8y

Combine like terms: 5x + x = 6x
1 + 6x + y = -9 + -1x + x + 8y

Combine like terms: -1x + x = 0
1 + 6x + y = -9 + 0 + 8y
1 + 6x + y = -9 + 8y

Add '-1' to each side of the equation.
1 + 6x + -1 + y = -9 + -1 + 8y

Reorder the terms:
1 + -1 + 6x + y = -9 + -1 + 8y

Combine like terms: 1 + -1 = 0
0 + 6x + y = -9 + -1 + 8y
6x + y = -9 + -1 + 8y

Combine like terms: -9 + -1 = -10
6x + y = -10 + 8y

Add '-1y' to each side of the equation.
6x + y + -1y = -10 + 8y + -1y

Combine like terms: y + -1y = 0
6x + 0 = -10 + 8y + -1y
6x = -10 + 8y + -1y

Combine like terms: 8y + -1y = 7y
6x = -10 + 7y

Divide each side by '6'.
x = -1.666666667 + 1.166666667y

Simplifying
x = -1.666666667 + 1.166666667y

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