5x-y+7=x+4y

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


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

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

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

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

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

Combine like terms: x + -1x = 0
7 + 4x + -1y = 0 + 4y
7 + 4x + -1y = 4y

Add '-7' to each side of the equation.
7 + 4x + -7 + -1y = -7 + 4y

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

Combine like terms: 7 + -7 = 0
0 + 4x + -1y = -7 + 4y
4x + -1y = -7 + 4y

Add 'y' to each side of the equation.
4x + -1y + y = -7 + 4y + y

Combine like terms: -1y + y = 0
4x + 0 = -7 + 4y + y
4x = -7 + 4y + y

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

Divide each side by '4'.
x = -1.75 + 1.25y

Simplifying
x = -1.75 + 1.25y

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