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

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


Simplifying
6 + -1(x + 6) = 3(x + 9)

Reorder the terms:
6 + -1(6 + x) = 3(x + 9)
6 + (6 * -1 + x * -1) = 3(x + 9)
6 + (-6 + -1x) = 3(x + 9)

Combine like terms: 6 + -6 = 0
0 + -1x = 3(x + 9)
-1x = 3(x + 9)

Reorder the terms:
-1x = 3(9 + x)
-1x = (9 * 3 + x * 3)
-1x = (27 + 3x)

Solving
-1x = 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.
-1x + -3x = 27 + 3x + -3x

Combine like terms: -1x + -3x = -4x
-4x = 27 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4x = 27 + 0
-4x = 27

Divide each side by '-4'.
x = -6.75

Simplifying
x = -6.75

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