9(x-3)=-3(2x-4)

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Solution for 9(x-3)=-3(2x-4) equation:


Simplifying
9(x + -3) = -3(2x + -4)

Reorder the terms:
9(-3 + x) = -3(2x + -4)
(-3 * 9 + x * 9) = -3(2x + -4)
(-27 + 9x) = -3(2x + -4)

Reorder the terms:
-27 + 9x = -3(-4 + 2x)
-27 + 9x = (-4 * -3 + 2x * -3)
-27 + 9x = (12 + -6x)

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

Combine like terms: 9x + 6x = 15x
-27 + 15x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-27 + 15x = 12 + 0
-27 + 15x = 12

Add '27' to each side of the equation.
-27 + 27 + 15x = 12 + 27

Combine like terms: -27 + 27 = 0
0 + 15x = 12 + 27
15x = 12 + 27

Combine like terms: 12 + 27 = 39
15x = 39

Divide each side by '15'.
x = 2.6

Simplifying
x = 2.6

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