(7x+2)=5y-22

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Solution for (7x+2)=5y-22 equation: 


Simplifying
(7x + 2) = 5y + -22

Reorder the terms:
(2 + 7x) = 5y + -22

Remove parenthesis around (2 + 7x)
2 + 7x = 5y + -22

Reorder the terms:
2 + 7x = -22 + 5y

Solving
2 + 7x = -22 + 5y

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 7x = -22 + -2 + 5y

Combine like terms: 2 + -2 = 0
0 + 7x = -22 + -2 + 5y
7x = -22 + -2 + 5y

Combine like terms: -22 + -2 = -24
7x = -24 + 5y

Divide each side by '7'.
x = -3.428571429 + 0.7142857143y

Simplifying
x = -3.428571429 + 0.7142857143y

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