4x+y+3=-5+7y-x

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Solution for 4x+y+3=-5+7y-x equation:


Simplifying
4x + y + 3 = -5 + 7y + -1x

Reorder the terms:
3 + 4x + y = -5 + 7y + -1x

Reorder the terms:
3 + 4x + y = -5 + -1x + 7y

Solving
3 + 4x + y = -5 + -1x + 7y

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.
3 + 4x + x + y = -5 + -1x + x + 7y

Combine like terms: 4x + x = 5x
3 + 5x + y = -5 + -1x + x + 7y

Combine like terms: -1x + x = 0
3 + 5x + y = -5 + 0 + 7y
3 + 5x + y = -5 + 7y

Add '-3' to each side of the equation.
3 + 5x + -3 + y = -5 + -3 + 7y

Reorder the terms:
3 + -3 + 5x + y = -5 + -3 + 7y

Combine like terms: 3 + -3 = 0
0 + 5x + y = -5 + -3 + 7y
5x + y = -5 + -3 + 7y

Combine like terms: -5 + -3 = -8
5x + y = -8 + 7y

Add '-1y' to each side of the equation.
5x + y + -1y = -8 + 7y + -1y

Combine like terms: y + -1y = 0
5x + 0 = -8 + 7y + -1y
5x = -8 + 7y + -1y

Combine like terms: 7y + -1y = 6y
5x = -8 + 6y

Divide each side by '5'.
x = -1.6 + 1.2y

Simplifying
x = -1.6 + 1.2y

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