7x+y+4=-16+10y-x

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Solution for 7x+y+4=-16+10y-x equation:


Simplifying
7x + y + 4 = -16 + 10y + -1x

Reorder the terms:
4 + 7x + y = -16 + 10y + -1x

Reorder the terms:
4 + 7x + y = -16 + -1x + 10y

Solving
4 + 7x + y = -16 + -1x + 10y

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.
4 + 7x + x + y = -16 + -1x + x + 10y

Combine like terms: 7x + x = 8x
4 + 8x + y = -16 + -1x + x + 10y

Combine like terms: -1x + x = 0
4 + 8x + y = -16 + 0 + 10y
4 + 8x + y = -16 + 10y

Add '-4' to each side of the equation.
4 + 8x + -4 + y = -16 + -4 + 10y

Reorder the terms:
4 + -4 + 8x + y = -16 + -4 + 10y

Combine like terms: 4 + -4 = 0
0 + 8x + y = -16 + -4 + 10y
8x + y = -16 + -4 + 10y

Combine like terms: -16 + -4 = -20
8x + y = -20 + 10y

Add '-1y' to each side of the equation.
8x + y + -1y = -20 + 10y + -1y

Combine like terms: y + -1y = 0
8x + 0 = -20 + 10y + -1y
8x = -20 + 10y + -1y

Combine like terms: 10y + -1y = 9y
8x = -20 + 9y

Divide each side by '8'.
x = -2.5 + 1.125y

Simplifying
x = -2.5 + 1.125y

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