9x+3y-4(x-7)+2(5y-8)-(6x+11y)=

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Solution for 9x+3y-4(x-7)+2(5y-8)-(6x+11y)= equation: 


Simplifying
9x + 3y + -4(x + -7) + 2(5y + -8) + -1(6x + 11y) = 0

Reorder the terms:
9x + 3y + -4(-7 + x) + 2(5y + -8) + -1(6x + 11y) = 0
9x + 3y + (-7 * -4 + x * -4) + 2(5y + -8) + -1(6x + 11y) = 0
9x + 3y + (28 + -4x) + 2(5y + -8) + -1(6x + 11y) = 0

Reorder the terms:
9x + 3y + 28 + -4x + 2(-8 + 5y) + -1(6x + 11y) = 0
9x + 3y + 28 + -4x + (-8 * 2 + 5y * 2) + -1(6x + 11y) = 0
9x + 3y + 28 + -4x + (-16 + 10y) + -1(6x + 11y) = 0
9x + 3y + 28 + -4x + -16 + 10y + (6x * -1 + 11y * -1) = 0
9x + 3y + 28 + -4x + -16 + 10y + (-6x + -11y) = 0

Reorder the terms:
28 + -16 + 9x + -4x + -6x + 3y + 10y + -11y = 0

Combine like terms: 28 + -16 = 12
12 + 9x + -4x + -6x + 3y + 10y + -11y = 0

Combine like terms: 9x + -4x = 5x
12 + 5x + -6x + 3y + 10y + -11y = 0

Combine like terms: 5x + -6x = -1x
12 + -1x + 3y + 10y + -11y = 0

Combine like terms: 3y + 10y = 13y
12 + -1x + 13y + -11y = 0

Combine like terms: 13y + -11y = 2y
12 + -1x + 2y = 0

Solving
12 + -1x + 2y = 0

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -1x + -12 + 2y = 0 + -12

Reorder the terms:
12 + -12 + -1x + 2y = 0 + -12

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

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

Add '-2y' to each side of the equation.
-1x + 2y + -2y = -12 + -2y

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

Divide each side by '-1'.
x = 12 + 2y

Simplifying
x = 12 + 2y

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