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

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


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

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

Combine like terms: 3 + -27 = -24
-24 + 9x = 6 + -6(x + -9)

Reorder the terms:
-24 + 9x = 6 + -6(-9 + x)
-24 + 9x = 6 + (-9 * -6 + x * -6)
-24 + 9x = 6 + (54 + -6x)

Combine like terms: 6 + 54 = 60
-24 + 9x = 60 + -6x

Solving
-24 + 9x = 60 + -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.
-24 + 9x + 6x = 60 + -6x + 6x

Combine like terms: 9x + 6x = 15x
-24 + 15x = 60 + -6x + 6x

Combine like terms: -6x + 6x = 0
-24 + 15x = 60 + 0
-24 + 15x = 60

Add '24' to each side of the equation.
-24 + 24 + 15x = 60 + 24

Combine like terms: -24 + 24 = 0
0 + 15x = 60 + 24
15x = 60 + 24

Combine like terms: 60 + 24 = 84
15x = 84

Divide each side by '15'.
x = 5.6

Simplifying
x = 5.6

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