4(3x-6)=3(3x-6)+9

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Solution for 4(3x-6)=3(3x-6)+9 equation:


Simplifying
4(3x + -6) = 3(3x + -6) + 9

Reorder the terms:
4(-6 + 3x) = 3(3x + -6) + 9
(-6 * 4 + 3x * 4) = 3(3x + -6) + 9
(-24 + 12x) = 3(3x + -6) + 9

Reorder the terms:
-24 + 12x = 3(-6 + 3x) + 9
-24 + 12x = (-6 * 3 + 3x * 3) + 9
-24 + 12x = (-18 + 9x) + 9

Reorder the terms:
-24 + 12x = -18 + 9 + 9x

Combine like terms: -18 + 9 = -9
-24 + 12x = -9 + 9x

Solving
-24 + 12x = -9 + 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.
-24 + 12x + -9x = -9 + 9x + -9x

Combine like terms: 12x + -9x = 3x
-24 + 3x = -9 + 9x + -9x

Combine like terms: 9x + -9x = 0
-24 + 3x = -9 + 0
-24 + 3x = -9

Add '24' to each side of the equation.
-24 + 24 + 3x = -9 + 24

Combine like terms: -24 + 24 = 0
0 + 3x = -9 + 24
3x = -9 + 24

Combine like terms: -9 + 24 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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