-(3x+2)-(-2y-3)=-7

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


Simplifying
-1(3x + 2) + -1(-2y + -3) = -7

Reorder the terms:
-1(2 + 3x) + -1(-2y + -3) = -7
(2 * -1 + 3x * -1) + -1(-2y + -3) = -7
(-2 + -3x) + -1(-2y + -3) = -7

Reorder the terms:
-2 + -3x + -1(-3 + -2y) = -7
-2 + -3x + (-3 * -1 + -2y * -1) = -7
-2 + -3x + (3 + 2y) = -7

Reorder the terms:
-2 + 3 + -3x + 2y = -7

Combine like terms: -2 + 3 = 1
1 + -3x + 2y = -7

Solving
1 + -3x + 2y = -7

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -3x + -1 + 2y = -7 + -1

Reorder the terms:
1 + -1 + -3x + 2y = -7 + -1

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

Combine like terms: -7 + -1 = -8
-3x + 2y = -8

Add '-2y' to each side of the equation.
-3x + 2y + -2y = -8 + -2y

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

Divide each side by '-3'.
x = 2.666666667 + 0.6666666667y

Simplifying
x = 2.666666667 + 0.6666666667y

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