(6x-9y-4)-(7x-12y-6)=

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Solution for (6x-9y-4)-(7x-12y-6)= equation:


Simplifying
(6x + -9y + -4) + -1(7x + -12y + -6) = 0

Reorder the terms:
(-4 + 6x + -9y) + -1(7x + -12y + -6) = 0

Remove parenthesis around (-4 + 6x + -9y)
-4 + 6x + -9y + -1(7x + -12y + -6) = 0

Reorder the terms:
-4 + 6x + -9y + -1(-6 + 7x + -12y) = 0
-4 + 6x + -9y + (-6 * -1 + 7x * -1 + -12y * -1) = 0
-4 + 6x + -9y + (6 + -7x + 12y) = 0

Reorder the terms:
-4 + 6 + 6x + -7x + -9y + 12y = 0

Combine like terms: -4 + 6 = 2
2 + 6x + -7x + -9y + 12y = 0

Combine like terms: 6x + -7x = -1x
2 + -1x + -9y + 12y = 0

Combine like terms: -9y + 12y = 3y
2 + -1x + 3y = 0

Solving
2 + -1x + 3y = 0

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 + -1x + -2 + 3y = 0 + -2

Reorder the terms:
2 + -2 + -1x + 3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x + 3y = 0 + -2
-1x + 3y = 0 + -2

Combine like terms: 0 + -2 = -2
-1x + 3y = -2

Add '-3y' to each side of the equation.
-1x + 3y + -3y = -2 + -3y

Combine like terms: 3y + -3y = 0
-1x + 0 = -2 + -3y
-1x = -2 + -3y

Divide each side by '-1'.
x = 2 + 3y

Simplifying
x = 2 + 3y

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