(2x-4)-(3x-6)=5

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


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

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

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

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

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

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

Combine like terms: 2x + -3x = -1x
2 + -1x = 5

Solving
2 + -1x = 5

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 5 + -2
-1x = 5 + -2

Combine like terms: 5 + -2 = 3
-1x = 3

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

Simplifying
x = -3

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