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

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


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

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

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

Solving
-6 = -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.
-6 + -9x = -36 + 9x + -9x

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

Add '6' to each side of the equation.
-6 + 6 + -9x = -36 + 6

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

Combine like terms: -36 + 6 = -30
-9x = -30

Divide each side by '-9'.
x = 3.333333333

Simplifying
x = 3.333333333

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