3(3x-6)=32-3(x-3)

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Solution for 3(3x-6)=32-3(x-3) equation: 


Simplifying
3(3x + -6) = 32 + -3(x + -3)

Reorder the terms:
3(-6 + 3x) = 32 + -3(x + -3)
(-6 * 3 + 3x * 3) = 32 + -3(x + -3)
(-18 + 9x) = 32 + -3(x + -3)

Reorder the terms:
-18 + 9x = 32 + -3(-3 + x)
-18 + 9x = 32 + (-3 * -3 + x * -3)
-18 + 9x = 32 + (9 + -3x)

Combine like terms: 32 + 9 = 41
-18 + 9x = 41 + -3x

Solving
-18 + 9x = 41 + -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.
-18 + 9x + 3x = 41 + -3x + 3x

Combine like terms: 9x + 3x = 12x
-18 + 12x = 41 + -3x + 3x

Combine like terms: -3x + 3x = 0
-18 + 12x = 41 + 0
-18 + 12x = 41

Add '18' to each side of the equation.
-18 + 18 + 12x = 41 + 18

Combine like terms: -18 + 18 = 0
0 + 12x = 41 + 18
12x = 41 + 18

Combine like terms: 41 + 18 = 59
12x = 59

Divide each side by '12'.
x = 4.916666667

Simplifying
x = 4.916666667

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