(2x-3)-(5x-6)=0

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Solution for (2x-3)-(5x-6)=0 equation:


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

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

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

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

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

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

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

Solving
3 + -3x = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -3x = 0 + -3

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

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

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

Simplifying
x = 1

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