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

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


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

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

Reorder the terms:
9 + 3x = 6(-1 + 2x)
9 + 3x = (-1 * 6 + 2x * 6)
9 + 3x = (-6 + 12x)

Solving
9 + 3x = -6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
9 + 3x + -12x = -6 + 12x + -12x

Combine like terms: 3x + -12x = -9x
9 + -9x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
9 + -9x = -6 + 0
9 + -9x = -6

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

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

Combine like terms: -6 + -9 = -15
-9x = -15

Divide each side by '-9'.
x = 1.666666667

Simplifying
x = 1.666666667

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