x-y-10=3x+y+6

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Solution for x-y-10=3x+y+6 equation:


Simplifying
x + -1y + -10 = 3x + y + 6

Reorder the terms:
-10 + x + -1y = 3x + y + 6

Reorder the terms:
-10 + x + -1y = 6 + 3x + y

Solving
-10 + x + -1y = 6 + 3x + y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + x + -3x + -1y = 6 + 3x + -3x + y

Combine like terms: x + -3x = -2x
-10 + -2x + -1y = 6 + 3x + -3x + y

Combine like terms: 3x + -3x = 0
-10 + -2x + -1y = 6 + 0 + y
-10 + -2x + -1y = 6 + y

Add '10' to each side of the equation.
-10 + -2x + 10 + -1y = 6 + 10 + y

Reorder the terms:
-10 + 10 + -2x + -1y = 6 + 10 + y

Combine like terms: -10 + 10 = 0
0 + -2x + -1y = 6 + 10 + y
-2x + -1y = 6 + 10 + y

Combine like terms: 6 + 10 = 16
-2x + -1y = 16 + y

Add 'y' to each side of the equation.
-2x + -1y + y = 16 + y + y

Combine like terms: -1y + y = 0
-2x + 0 = 16 + y + y
-2x = 16 + y + y

Combine like terms: y + y = 2y
-2x = 16 + 2y

Divide each side by '-2'.
x = -8 + -1y

Simplifying
x = -8 + -1y

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