6(3x-7)-x=9

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


Simplifying
6(3x + -7) + -1x = 9

Reorder the terms:
6(-7 + 3x) + -1x = 9
(-7 * 6 + 3x * 6) + -1x = 9
(-42 + 18x) + -1x = 9

Combine like terms: 18x + -1x = 17x
-42 + 17x = 9

Solving
-42 + 17x = 9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '42' to each side of the equation.
-42 + 42 + 17x = 9 + 42

Combine like terms: -42 + 42 = 0
0 + 17x = 9 + 42
17x = 9 + 42

Combine like terms: 9 + 42 = 51
17x = 51

Divide each side by '17'.
x = 3

Simplifying
x = 3

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