9-(x-6)=5(x+11)

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Solution for 9-(x-6)=5(x+11) equation:


Simplifying
9 + -1(x + -6) = 5(x + 11)

Reorder the terms:
9 + -1(-6 + x) = 5(x + 11)
9 + (-6 * -1 + x * -1) = 5(x + 11)
9 + (6 + -1x) = 5(x + 11)

Combine like terms: 9 + 6 = 15
15 + -1x = 5(x + 11)

Reorder the terms:
15 + -1x = 5(11 + x)
15 + -1x = (11 * 5 + x * 5)
15 + -1x = (55 + 5x)

Solving
15 + -1x = 55 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
15 + -1x + -5x = 55 + 5x + -5x

Combine like terms: -1x + -5x = -6x
15 + -6x = 55 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -6x = 55 + 0
15 + -6x = 55

Add '-15' to each side of the equation.
15 + -15 + -6x = 55 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = 55 + -15
-6x = 55 + -15

Combine like terms: 55 + -15 = 40
-6x = 40

Divide each side by '-6'.
x = -6.666666667

Simplifying
x = -6.666666667

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