(4x-3y+9)-(-2x-5y+1)=

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Solution for (4x-3y+9)-(-2x-5y+1)= equation:


Simplifying
(4x + -3y + 9) + -1(-2x + -5y + 1) = 0

Reorder the terms:
(9 + 4x + -3y) + -1(-2x + -5y + 1) = 0

Remove parenthesis around (9 + 4x + -3y)
9 + 4x + -3y + -1(-2x + -5y + 1) = 0

Reorder the terms:
9 + 4x + -3y + -1(1 + -2x + -5y) = 0
9 + 4x + -3y + (1 * -1 + -2x * -1 + -5y * -1) = 0
9 + 4x + -3y + (-1 + 2x + 5y) = 0

Reorder the terms:
9 + -1 + 4x + 2x + -3y + 5y = 0

Combine like terms: 9 + -1 = 8
8 + 4x + 2x + -3y + 5y = 0

Combine like terms: 4x + 2x = 6x
8 + 6x + -3y + 5y = 0

Combine like terms: -3y + 5y = 2y
8 + 6x + 2y = 0

Solving
8 + 6x + 2y = 0

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + 6x + -8 + 2y = 0 + -8

Reorder the terms:
8 + -8 + 6x + 2y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 6x + 2y = 0 + -8
6x + 2y = 0 + -8

Combine like terms: 0 + -8 = -8
6x + 2y = -8

Add '-2y' to each side of the equation.
6x + 2y + -2y = -8 + -2y

Combine like terms: 2y + -2y = 0
6x + 0 = -8 + -2y
6x = -8 + -2y

Divide each side by '6'.
x = -1.333333333 + -0.3333333333y

Simplifying
x = -1.333333333 + -0.3333333333y

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