2(3x-1)=9(6x-9)

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Solution for 2(3x-1)=9(6x-9) equation:


Simplifying
2(3x + -1) = 9(6x + -9)

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

Reorder the terms:
-2 + 6x = 9(-9 + 6x)
-2 + 6x = (-9 * 9 + 6x * 9)
-2 + 6x = (-81 + 54x)

Solving
-2 + 6x = -81 + 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
-2 + 6x + -54x = -81 + 54x + -54x

Combine like terms: 6x + -54x = -48x
-2 + -48x = -81 + 54x + -54x

Combine like terms: 54x + -54x = 0
-2 + -48x = -81 + 0
-2 + -48x = -81

Add '2' to each side of the equation.
-2 + 2 + -48x = -81 + 2

Combine like terms: -2 + 2 = 0
0 + -48x = -81 + 2
-48x = -81 + 2

Combine like terms: -81 + 2 = -79
-48x = -79

Divide each side by '-48'.
x = 1.645833333

Simplifying
x = 1.645833333

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