(7x+2y)-(3x-2y)=20

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Solution for (7x+2y)-(3x-2y)=20 equation:


Simplifying
(7x + 2y) + -1(3x + -2y) = 20

Remove parenthesis around (7x + 2y)
7x + 2y + -1(3x + -2y) = 20
7x + 2y + (3x * -1 + -2y * -1) = 20
7x + 2y + (-3x + 2y) = 20

Reorder the terms:
7x + -3x + 2y + 2y = 20

Combine like terms: 7x + -3x = 4x
4x + 2y + 2y = 20

Combine like terms: 2y + 2y = 4y
4x + 4y = 20

Solving
4x + 4y = 20

Solving for variable 'x'.

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

Add '-4y' to each side of the equation.
4x + 4y + -4y = 20 + -4y

Combine like terms: 4y + -4y = 0
4x + 0 = 20 + -4y
4x = 20 + -4y

Divide each side by '4'.
x = 5 + -1y

Simplifying
x = 5 + -1y

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