3x-7y=20-9(x+3y)

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Solution for 3x-7y=20-9(x+3y) equation:


Simplifying
3x + -7y = 20 + -9(x + 3y)
3x + -7y = 20 + (x * -9 + 3y * -9)
3x + -7y = 20 + (-9x + -27y)

Solving
3x + -7y = 20 + -9x + -27y

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
3x + 9x + -7y = 20 + -9x + 9x + -27y

Combine like terms: 3x + 9x = 12x
12x + -7y = 20 + -9x + 9x + -27y

Combine like terms: -9x + 9x = 0
12x + -7y = 20 + 0 + -27y
12x + -7y = 20 + -27y

Add '7y' to each side of the equation.
12x + -7y + 7y = 20 + -27y + 7y

Combine like terms: -7y + 7y = 0
12x + 0 = 20 + -27y + 7y
12x = 20 + -27y + 7y

Combine like terms: -27y + 7y = -20y
12x = 20 + -20y

Divide each side by '12'.
x = 1.666666667 + -1.666666667y

Simplifying
x = 1.666666667 + -1.666666667y

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