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

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


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

Remove parenthesis around (3x + -4y)
3x + -4y + -1(2x + 5y) + (6x + -7y) = 0
3x + -4y + (2x * -1 + 5y * -1) + (6x + -7y) = 0
3x + -4y + (-2x + -5y) + (6x + -7y) = 0

Remove parenthesis around (6x + -7y)
3x + -4y + -2x + -5y + 6x + -7y = 0

Reorder the terms:
3x + -2x + 6x + -4y + -5y + -7y = 0

Combine like terms: 3x + -2x = 1x
1x + 6x + -4y + -5y + -7y = 0

Combine like terms: 1x + 6x = 7x
7x + -4y + -5y + -7y = 0

Combine like terms: -4y + -5y = -9y
7x + -9y + -7y = 0

Combine like terms: -9y + -7y = -16y
7x + -16y = 0

Solving
7x + -16y = 0

Solving for variable 'x'.

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

Add '16y' to each side of the equation.
7x + -16y + 16y = 0 + 16y

Combine like terms: -16y + 16y = 0
7x + 0 = 0 + 16y
7x = 0 + 16y
Remove the zero:
7x = 16y

Divide each side by '7'.
x = 2.285714286y

Simplifying
x = 2.285714286y

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