6(2x+3y)+3(x-y)=

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Solution for 6(2x+3y)+3(x-y)= equation:


Simplifying
6(2x + 3y) + 3(x + -1y) = 0
(2x * 6 + 3y * 6) + 3(x + -1y) = 0
(12x + 18y) + 3(x + -1y) = 0
12x + 18y + (x * 3 + -1y * 3) = 0
12x + 18y + (3x + -3y) = 0

Reorder the terms:
12x + 3x + 18y + -3y = 0

Combine like terms: 12x + 3x = 15x
15x + 18y + -3y = 0

Combine like terms: 18y + -3y = 15y
15x + 15y = 0

Solving
15x + 15y = 0

Solving for variable 'x'.

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

Add '-15y' to each side of the equation.
15x + 15y + -15y = 0 + -15y

Combine like terms: 15y + -15y = 0
15x + 0 = 0 + -15y
15x = 0 + -15y
Remove the zero:
15x = -15y

Divide each side by '15'.
x = -1y

Simplifying
x = -1y

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