6x-[3x-2(x-2)]=11

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Solution for 6x-[3x-2(x-2)]=11 equation:


Simplifying
6x + -1[3x + -2(x + -2)] = 11

Reorder the terms:
6x + -1[3x + -2(-2 + x)] = 11
6x + -1[3x + (-2 * -2 + x * -2)] = 11
6x + -1[3x + (4 + -2x)] = 11

Reorder the terms:
6x + -1[4 + 3x + -2x] = 11

Combine like terms: 3x + -2x = 1x
6x + -1[4 + 1x] = 11
6x + [4 * -1 + 1x * -1] = 11
6x + [-4 + -1x] = 11

Reorder the terms:
-4 + 6x + -1x = 11

Combine like terms: 6x + -1x = 5x
-4 + 5x = 11

Solving
-4 + 5x = 11

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 5x = 11 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 11 + 4
5x = 11 + 4

Combine like terms: 11 + 4 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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