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

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


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

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

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

Solving
-3 + 9x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 9x + -6x = -2 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-3 + 3x = -2 + 6x + -6x

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

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

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

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

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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