5x+4-7y=5+x-13

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Solution for 5x+4-7y=5+x-13 equation:


Simplifying
5x + 4 + -7y = 5 + x + -13

Reorder the terms:
4 + 5x + -7y = 5 + x + -13

Reorder the terms:
4 + 5x + -7y = 5 + -13 + x

Combine like terms: 5 + -13 = -8
4 + 5x + -7y = -8 + x

Solving
4 + 5x + -7y = -8 + x

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 + 5x + -1x + -7y = -8 + x + -1x

Combine like terms: 5x + -1x = 4x
4 + 4x + -7y = -8 + x + -1x

Combine like terms: x + -1x = 0
4 + 4x + -7y = -8 + 0
4 + 4x + -7y = -8

Add '-4' to each side of the equation.
4 + 4x + -4 + -7y = -8 + -4

Reorder the terms:
4 + -4 + 4x + -7y = -8 + -4

Combine like terms: 4 + -4 = 0
0 + 4x + -7y = -8 + -4
4x + -7y = -8 + -4

Combine like terms: -8 + -4 = -12
4x + -7y = -12

Add '7y' to each side of the equation.
4x + -7y + 7y = -12 + 7y

Combine like terms: -7y + 7y = 0
4x + 0 = -12 + 7y
4x = -12 + 7y

Divide each side by '4'.
x = -3 + 1.75y

Simplifying
x = -3 + 1.75y

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