(X+4y-9)-(2x-7y+12)=

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Solution for (X+4y-9)-(2x-7y+12)= equation:


Simplifying
(X + 4y + -9) + -1(2x + -7y + 12) = 0

Reorder the terms:
(-9 + X + 4y) + -1(2x + -7y + 12) = 0

Remove parenthesis around (-9 + X + 4y)
-9 + X + 4y + -1(2x + -7y + 12) = 0

Reorder the terms:
-9 + X + 4y + -1(12 + 2x + -7y) = 0
-9 + X + 4y + (12 * -1 + 2x * -1 + -7y * -1) = 0
-9 + X + 4y + (-12 + -2x + 7y) = 0

Reorder the terms:
-9 + -12 + X + -2x + 4y + 7y = 0

Combine like terms: -9 + -12 = -21
-21 + X + -2x + 4y + 7y = 0

Combine like terms: 4y + 7y = 11y
-21 + X + -2x + 11y = 0

Solving
-21 + X + -2x + 11y = 0

Solving for variable 'X'.

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

Add '21' to each side of the equation.
-21 + X + -2x + 21 + 11y = 0 + 21

Reorder the terms:
-21 + 21 + X + -2x + 11y = 0 + 21

Combine like terms: -21 + 21 = 0
0 + X + -2x + 11y = 0 + 21
X + -2x + 11y = 0 + 21

Combine like terms: 0 + 21 = 21
X + -2x + 11y = 21

Add '2x' to each side of the equation.
X + -2x + 2x + 11y = 21 + 2x

Combine like terms: -2x + 2x = 0
X + 0 + 11y = 21 + 2x
X + 11y = 21 + 2x

Add '-11y' to each side of the equation.
X + 11y + -11y = 21 + 2x + -11y

Combine like terms: 11y + -11y = 0
X + 0 = 21 + 2x + -11y
X = 21 + 2x + -11y

Simplifying
X = 21 + 2x + -11y

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