6x-y-4=x-9y+1

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Solution for 6x-y-4=x-9y+1 equation:


Simplifying
6x + -1y + -4 = x + -9y + 1

Reorder the terms:
-4 + 6x + -1y = x + -9y + 1

Reorder the terms:
-4 + 6x + -1y = 1 + x + -9y

Solving
-4 + 6x + -1y = 1 + x + -9y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-4 + 6x + -1x + -1y = 1 + x + -1x + -9y

Combine like terms: 6x + -1x = 5x
-4 + 5x + -1y = 1 + x + -1x + -9y

Combine like terms: x + -1x = 0
-4 + 5x + -1y = 1 + 0 + -9y
-4 + 5x + -1y = 1 + -9y

Add '4' to each side of the equation.
-4 + 5x + 4 + -1y = 1 + 4 + -9y

Reorder the terms:
-4 + 4 + 5x + -1y = 1 + 4 + -9y

Combine like terms: -4 + 4 = 0
0 + 5x + -1y = 1 + 4 + -9y
5x + -1y = 1 + 4 + -9y

Combine like terms: 1 + 4 = 5
5x + -1y = 5 + -9y

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

Combine like terms: -1y + y = 0
5x + 0 = 5 + -9y + y
5x = 5 + -9y + y

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

Divide each side by '5'.
x = 1 + -1.6y

Simplifying
x = 1 + -1.6y

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