12x-6=-9(x-3)

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Solution for 12x-6=-9(x-3) equation:


Simplifying
12x + -6 = -9(x + -3)

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

Reorder the terms:
-6 + 12x = -9(-3 + x)
-6 + 12x = (-3 * -9 + x * -9)
-6 + 12x = (27 + -9x)

Solving
-6 + 12x = 27 + -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.
-6 + 12x + 9x = 27 + -9x + 9x

Combine like terms: 12x + 9x = 21x
-6 + 21x = 27 + -9x + 9x

Combine like terms: -9x + 9x = 0
-6 + 21x = 27 + 0
-6 + 21x = 27

Add '6' to each side of the equation.
-6 + 6 + 21x = 27 + 6

Combine like terms: -6 + 6 = 0
0 + 21x = 27 + 6
21x = 27 + 6

Combine like terms: 27 + 6 = 33
21x = 33

Divide each side by '21'.
x = 1.571428571

Simplifying
x = 1.571428571

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