9(x-1)=6(x+2)-6

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Solution for 9(x-1)=6(x+2)-6 equation:


Simplifying
9(x + -1) = 6(x + 2) + -6

Reorder the terms:
9(-1 + x) = 6(x + 2) + -6
(-1 * 9 + x * 9) = 6(x + 2) + -6
(-9 + 9x) = 6(x + 2) + -6

Reorder the terms:
-9 + 9x = 6(2 + x) + -6
-9 + 9x = (2 * 6 + x * 6) + -6
-9 + 9x = (12 + 6x) + -6

Reorder the terms:
-9 + 9x = 12 + -6 + 6x

Combine like terms: 12 + -6 = 6
-9 + 9x = 6 + 6x

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

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

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

Add '9' to each side of the equation.
-9 + 9 + 3x = 6 + 9

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

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

Divide each side by '3'.
x = 5

Simplifying
x = 5

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