3(x-6)=9x-36

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Solution for 3(x-6)=9x-36 equation:


Simplifying
3(x + -6) = 9x + -36

Reorder the terms:
3(-6 + x) = 9x + -36
(-6 * 3 + x * 3) = 9x + -36
(-18 + 3x) = 9x + -36

Reorder the terms:
-18 + 3x = -36 + 9x

Solving
-18 + 3x = -36 + 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.
-18 + 3x + -9x = -36 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-18 + -6x = -36 + 9x + -9x

Combine like terms: 9x + -9x = 0
-18 + -6x = -36 + 0
-18 + -6x = -36

Add '18' to each side of the equation.
-18 + 18 + -6x = -36 + 18

Combine like terms: -18 + 18 = 0
0 + -6x = -36 + 18
-6x = -36 + 18

Combine like terms: -36 + 18 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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