9=6(x-7)-3x

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Solution for 9=6(x-7)-3x equation:


Simplifying
9 = 6(x + -7) + -3x

Reorder the terms:
9 = 6(-7 + x) + -3x
9 = (-7 * 6 + x * 6) + -3x
9 = (-42 + 6x) + -3x

Combine like terms: 6x + -3x = 3x
9 = -42 + 3x

Solving
9 = -42 + 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.
9 + -3x = -42 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -3x = -42 + 0
9 + -3x = -42

Add '-9' to each side of the equation.
9 + -9 + -3x = -42 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -42 + -9
-3x = -42 + -9

Combine like terms: -42 + -9 = -51
-3x = -51

Divide each side by '-3'.
x = 17

Simplifying
x = 17

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