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

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


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

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

Reorder the terms:
-6 + 9x = 6(-3 + x)
-6 + 9x = (-3 * 6 + x * 6)
-6 + 9x = (-18 + 6x)

Solving
-6 + 9x = -18 + 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.
-6 + 9x + -6x = -18 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-6 + 3x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + 3x = -18 + 0
-6 + 3x = -18

Add '6' to each side of the equation.
-6 + 6 + 3x = -18 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = -18 + 6
3x = -18 + 6

Combine like terms: -18 + 6 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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