2(x-11)-(x+6)=9x

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Solution for 2(x-11)-(x+6)=9x equation:


Simplifying
2(x + -11) + -1(x + 6) = 9x

Reorder the terms:
2(-11 + x) + -1(x + 6) = 9x
(-11 * 2 + x * 2) + -1(x + 6) = 9x
(-22 + 2x) + -1(x + 6) = 9x

Reorder the terms:
-22 + 2x + -1(6 + x) = 9x
-22 + 2x + (6 * -1 + x * -1) = 9x
-22 + 2x + (-6 + -1x) = 9x

Reorder the terms:
-22 + -6 + 2x + -1x = 9x

Combine like terms: -22 + -6 = -28
-28 + 2x + -1x = 9x

Combine like terms: 2x + -1x = 1x
-28 + 1x = 9x

Solving
-28 + 1x = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-28 + 1x + -9x = 9x + -9x

Combine like terms: 1x + -9x = -8x
-28 + -8x = 9x + -9x

Combine like terms: 9x + -9x = 0
-28 + -8x = 0

Add '28' to each side of the equation.
-28 + 28 + -8x = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -8x = 0 + 28
-8x = 0 + 28

Combine like terms: 0 + 28 = 28
-8x = 28

Divide each side by '-8'.
x = -3.5

Simplifying
x = -3.5

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