9-(3x+6)=6x-15

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Solution for 9-(3x+6)=6x-15 equation:


Simplifying
9 + -1(3x + 6) = 6x + -15

Reorder the terms:
9 + -1(6 + 3x) = 6x + -15
9 + (6 * -1 + 3x * -1) = 6x + -15
9 + (-6 + -3x) = 6x + -15

Combine like terms: 9 + -6 = 3
3 + -3x = 6x + -15

Reorder the terms:
3 + -3x = -15 + 6x

Solving
3 + -3x = -15 + 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.
3 + -3x + -6x = -15 + 6x + -6x

Combine like terms: -3x + -6x = -9x
3 + -9x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -9x = -15 + 0
3 + -9x = -15

Add '-3' to each side of the equation.
3 + -3 + -9x = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -9x = -15 + -3
-9x = -15 + -3

Combine like terms: -15 + -3 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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