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

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


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

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

Reorder the terms:
-18 + 6x = 3(9 + x)
-18 + 6x = (9 * 3 + x * 3)
-18 + 6x = (27 + 3x)

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

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

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

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

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

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

Divide each side by '3'.
x = 15

Simplifying
x = 15

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