4x+1=7x-5y

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Solution for 4x+1=7x-5y equation: 


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

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

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

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
1 + 4x + -7x = 7x + -7x + -5y

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

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

Add '-1' to each side of the equation.
1 + -1 + -3x = -1 + -5y

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

Divide each side by '-3'.
x = 0.3333333333 + 1.666666667y

Simplifying
x = 0.3333333333 + 1.666666667y

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