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

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


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

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

Reorder the terms:
4x + -5y + (3 + 6x) + -1(7x + -2y) = 0

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

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

Combine like terms: 4x + 6x = 10x
3 + 10x + -7x + -5y + 2y = 0

Combine like terms: 10x + -7x = 3x
3 + 3x + -5y + 2y = 0

Combine like terms: -5y + 2y = -3y
3 + 3x + -3y = 0

Solving
3 + 3x + -3y = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + 3x + -3 + -3y = 0 + -3

Reorder the terms:
3 + -3 + 3x + -3y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 3x + -3y = 0 + -3
3x + -3y = 0 + -3

Combine like terms: 0 + -3 = -3
3x + -3y = -3

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

Combine like terms: -3y + 3y = 0
3x + 0 = -3 + 3y
3x = -3 + 3y

Divide each side by '3'.
x = -1 + y

Simplifying
x = -1 + y

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