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

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


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

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

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

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

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

Solving
-3 + 2x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3 + 2x + -5x = -6 + 5x + -5x

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

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

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

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

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

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

Simplifying
x = 1

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