-6(3x+9y)+7y-2x=7+16-3y+8x+2(7-11x)

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Solution for -6(3x+9y)+7y-2x=7+16-3y+8x+2(7-11x) equation:


Simplifying
-6(3x + 9y) + 7y + -2x = 7 + 16 + -3y + 8x + 2(7 + -11x)
(3x * -6 + 9y * -6) + 7y + -2x = 7 + 16 + -3y + 8x + 2(7 + -11x)
(-18x + -54y) + 7y + -2x = 7 + 16 + -3y + 8x + 2(7 + -11x)

Reorder the terms:
-18x + -2x + -54y + 7y = 7 + 16 + -3y + 8x + 2(7 + -11x)

Combine like terms: -18x + -2x = -20x
-20x + -54y + 7y = 7 + 16 + -3y + 8x + 2(7 + -11x)

Combine like terms: -54y + 7y = -47y
-20x + -47y = 7 + 16 + -3y + 8x + 2(7 + -11x)
-20x + -47y = 7 + 16 + -3y + 8x + (7 * 2 + -11x * 2)
-20x + -47y = 7 + 16 + -3y + 8x + (14 + -22x)

Reorder the terms:
-20x + -47y = 7 + 16 + 14 + 8x + -22x + -3y

Combine like terms: 7 + 16 = 23
-20x + -47y = 23 + 14 + 8x + -22x + -3y

Combine like terms: 23 + 14 = 37
-20x + -47y = 37 + 8x + -22x + -3y

Combine like terms: 8x + -22x = -14x
-20x + -47y = 37 + -14x + -3y

Solving
-20x + -47y = 37 + -14x + -3y

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-20x + 14x + -47y = 37 + -14x + 14x + -3y

Combine like terms: -20x + 14x = -6x
-6x + -47y = 37 + -14x + 14x + -3y

Combine like terms: -14x + 14x = 0
-6x + -47y = 37 + 0 + -3y
-6x + -47y = 37 + -3y

Add '47y' to each side of the equation.
-6x + -47y + 47y = 37 + -3y + 47y

Combine like terms: -47y + 47y = 0
-6x + 0 = 37 + -3y + 47y
-6x = 37 + -3y + 47y

Combine like terms: -3y + 47y = 44y
-6x = 37 + 44y

Divide each side by '-6'.
x = -6.166666667 + -7.333333333y

Simplifying
x = -6.166666667 + -7.333333333y

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