(2x+9y-4)-(x+2)=0

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Solution for (2x+9y-4)-(x+2)=0 equation:


Simplifying
(2x + 9y + -4) + -1(x + 2) = 0

Reorder the terms:
(-4 + 2x + 9y) + -1(x + 2) = 0

Remove parenthesis around (-4 + 2x + 9y)
-4 + 2x + 9y + -1(x + 2) = 0

Reorder the terms:
-4 + 2x + 9y + -1(2 + x) = 0
-4 + 2x + 9y + (2 * -1 + x * -1) = 0
-4 + 2x + 9y + (-2 + -1x) = 0

Reorder the terms:
-4 + -2 + 2x + -1x + 9y = 0

Combine like terms: -4 + -2 = -6
-6 + 2x + -1x + 9y = 0

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

Solving
-6 + 1x + 9y = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 1x + 6 + 9y = 0 + 6

Reorder the terms:
-6 + 6 + 1x + 9y = 0 + 6

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

Combine like terms: 0 + 6 = 6
1x + 9y = 6

Add '-9y' to each side of the equation.
1x + 9y + -9y = 6 + -9y

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

Divide each side by '1'.
x = 6 + -9y

Simplifying
x = 6 + -9y

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