11x-9(x-2)=6(x+4)-2x

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Solution for 11x-9(x-2)=6(x+4)-2x equation: 


Simplifying
11x + -9(x + -2) = 6(x + 4) + -2x

Reorder the terms:
11x + -9(-2 + x) = 6(x + 4) + -2x
11x + (-2 * -9 + x * -9) = 6(x + 4) + -2x
11x + (18 + -9x) = 6(x + 4) + -2x

Reorder the terms:
18 + 11x + -9x = 6(x + 4) + -2x

Combine like terms: 11x + -9x = 2x
18 + 2x = 6(x + 4) + -2x

Reorder the terms:
18 + 2x = 6(4 + x) + -2x
18 + 2x = (4 * 6 + x * 6) + -2x
18 + 2x = (24 + 6x) + -2x

Combine like terms: 6x + -2x = 4x
18 + 2x = 24 + 4x

Solving
18 + 2x = 24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
18 + 2x + -4x = 24 + 4x + -4x

Combine like terms: 2x + -4x = -2x
18 + -2x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + -2x = 24 + 0
18 + -2x = 24

Add '-18' to each side of the equation.
18 + -18 + -2x = 24 + -18

Combine like terms: 18 + -18 = 0
0 + -2x = 24 + -18
-2x = 24 + -18

Combine like terms: 24 + -18 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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