(2x-1)=3(3x-2)

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Solution for (2x-1)=3(3x-2) equation:


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

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

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

Reorder the terms:
-1 + 2x = 3(-2 + 3x)
-1 + 2x = (-2 * 3 + 3x * 3)
-1 + 2x = (-6 + 9x)

Solving
-1 + 2x = -6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-1 + 2x + -9x = -6 + 9x + -9x

Combine like terms: 2x + -9x = -7x
-1 + -7x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
-1 + -7x = -6 + 0
-1 + -7x = -6

Add '1' to each side of the equation.
-1 + 1 + -7x = -6 + 1

Combine like terms: -1 + 1 = 0
0 + -7x = -6 + 1
-7x = -6 + 1

Combine like terms: -6 + 1 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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