6x+6(2-x)=11x-9(x-3)

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Solution for 6x+6(2-x)=11x-9(x-3) equation:


Simplifying
6x + 6(2 + -1x) = 11x + -9(x + -3)
6x + (2 * 6 + -1x * 6) = 11x + -9(x + -3)
6x + (12 + -6x) = 11x + -9(x + -3)

Reorder the terms:
12 + 6x + -6x = 11x + -9(x + -3)

Combine like terms: 6x + -6x = 0
12 + 0 = 11x + -9(x + -3)
12 = 11x + -9(x + -3)

Reorder the terms:
12 = 11x + -9(-3 + x)
12 = 11x + (-3 * -9 + x * -9)
12 = 11x + (27 + -9x)

Reorder the terms:
12 = 27 + 11x + -9x

Combine like terms: 11x + -9x = 2x
12 = 27 + 2x

Solving
12 = 27 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + -2x = 27 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -2x = 27 + 0
12 + -2x = 27

Add '-12' to each side of the equation.
12 + -12 + -2x = 27 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 27 + -12
-2x = 27 + -12

Combine like terms: 27 + -12 = 15
-2x = 15

Divide each side by '-2'.
x = -7.5

Simplifying
x = -7.5

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