(2x-4)-(3x+2)=3

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Solution for (2x-4)-(3x+2)=3 equation:


Simplifying
(2x + -4) + -1(3x + 2) = 3

Reorder the terms:
(-4 + 2x) + -1(3x + 2) = 3

Remove parenthesis around (-4 + 2x)
-4 + 2x + -1(3x + 2) = 3

Reorder the terms:
-4 + 2x + -1(2 + 3x) = 3
-4 + 2x + (2 * -1 + 3x * -1) = 3
-4 + 2x + (-2 + -3x) = 3

Reorder the terms:
-4 + -2 + 2x + -3x = 3

Combine like terms: -4 + -2 = -6
-6 + 2x + -3x = 3

Combine like terms: 2x + -3x = -1x
-6 + -1x = 3

Solving
-6 + -1x = 3

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 3 + 6
-1x = 3 + 6

Combine like terms: 3 + 6 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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