(6x+3y+1)-(5x+2y-3)=

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Solution for (6x+3y+1)-(5x+2y-3)= equation:


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

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

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

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

Reorder the terms:
1 + 3 + 6x + -5x + 3y + -2y = 0

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

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

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

Solving
4 + 1x + 1y = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + 1x + -4 + 1y = 0 + -4

Reorder the terms:
4 + -4 + 1x + 1y = 0 + -4

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

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

Add '-1y' to each side of the equation.
1x + 1y + -1y = -4 + -1y

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

Divide each side by '1'.
x = -4 + -1y

Simplifying
x = -4 + -1y

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