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 = 12x
-12 + 12x = 11x + -9(x + -3)

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

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

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

Solving
-12 + 12x = 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 + 12x + -2x = 27 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-12 + 10x = 27 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 10x = 27 + 0
-12 + 10x = 27

Add '12' to each side of the equation.
-12 + 12 + 10x = 27 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = 27 + 12
10x = 27 + 12

Combine like terms: 27 + 12 = 39
10x = 39

Divide each side by '10'.
x = 3.9

Simplifying
x = 3.9

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