5(x+y)-2(x-2y)=21

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Solution for 5(x+y)-2(x-2y)=21 equation:


Simplifying
5(x + y) + -2(x + -2y) = 21
(x * 5 + y * 5) + -2(x + -2y) = 21
(5x + 5y) + -2(x + -2y) = 21
5x + 5y + (x * -2 + -2y * -2) = 21
5x + 5y + (-2x + 4y) = 21

Reorder the terms:
5x + -2x + 5y + 4y = 21

Combine like terms: 5x + -2x = 3x
3x + 5y + 4y = 21

Combine like terms: 5y + 4y = 9y
3x + 9y = 21

Solving
3x + 9y = 21

Solving for variable 'x'.

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

Add '-9y' to each side of the equation.
3x + 9y + -9y = 21 + -9y

Combine like terms: 9y + -9y = 0
3x + 0 = 21 + -9y
3x = 21 + -9y

Divide each side by '3'.
x = 7 + -3y

Simplifying
x = 7 + -3y

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