3(2x-4)=6-3(x-3)

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Solution for 3(2x-4)=6-3(x-3) equation:


Simplifying
3(2x + -4) = 6 + -3(x + -3)

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

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

Combine like terms: 6 + 9 = 15
-12 + 6x = 15 + -3x

Solving
-12 + 6x = 15 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-12 + 6x + 3x = 15 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-12 + 9x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 9x = 15 + 0
-12 + 9x = 15

Add '12' to each side of the equation.
-12 + 12 + 9x = 15 + 12

Combine like terms: -12 + 12 = 0
0 + 9x = 15 + 12
9x = 15 + 12

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

Divide each side by '9'.
x = 3

Simplifying
x = 3

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