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

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


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

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

Reorder the terms:
-27 + 3x = 6(3 + x)
-27 + 3x = (3 * 6 + x * 6)
-27 + 3x = (18 + 6x)

Solving
-27 + 3x = 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.
-27 + 3x + -6x = 18 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-27 + -3x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-27 + -3x = 18 + 0
-27 + -3x = 18

Add '27' to each side of the equation.
-27 + 27 + -3x = 18 + 27

Combine like terms: -27 + 27 = 0
0 + -3x = 18 + 27
-3x = 18 + 27

Combine like terms: 18 + 27 = 45
-3x = 45

Divide each side by '-3'.
x = -15

Simplifying
x = -15

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