3x+11-(4x-[6(x-2)-4])=2(x-10)

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Solution for 3x+11-(4x-[6(x-2)-4])=2(x-10) equation: 


Simplifying
3x + 11 + -1(4x + -1[6(x + -2) + -4]) = 2(x + -10)

Reorder the terms:
3x + 11 + -1(4x + -1[6(-2 + x) + -4]) = 2(x + -10)
3x + 11 + -1(4x + -1[(-2 * 6 + x * 6) + -4]) = 2(x + -10)
3x + 11 + -1(4x + -1[(-12 + 6x) + -4]) = 2(x + -10)

Reorder the terms:
3x + 11 + -1(4x + -1[-12 + -4 + 6x]) = 2(x + -10)

Combine like terms: -12 + -4 = -16
3x + 11 + -1(4x + -1[-16 + 6x]) = 2(x + -10)
3x + 11 + -1(4x + [-16 * -1 + 6x * -1]) = 2(x + -10)
3x + 11 + -1(4x + [16 + -6x]) = 2(x + -10)

Reorder the terms:
3x + 11 + -1(16 + 4x + -6x) = 2(x + -10)

Combine like terms: 4x + -6x = -2x
3x + 11 + -1(16 + -2x) = 2(x + -10)
3x + 11 + (16 * -1 + -2x * -1) = 2(x + -10)
3x + 11 + (-16 + 2x) = 2(x + -10)

Reorder the terms:
11 + -16 + 3x + 2x = 2(x + -10)

Combine like terms: 11 + -16 = -5
-5 + 3x + 2x = 2(x + -10)

Combine like terms: 3x + 2x = 5x
-5 + 5x = 2(x + -10)

Reorder the terms:
-5 + 5x = 2(-10 + x)
-5 + 5x = (-10 * 2 + x * 2)
-5 + 5x = (-20 + 2x)

Solving
-5 + 5x = -20 + 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.
-5 + 5x + -2x = -20 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-5 + 3x = -20 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 3x = -20 + 0
-5 + 3x = -20

Add '5' to each side of the equation.
-5 + 5 + 3x = -20 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = -20 + 5
3x = -20 + 5

Combine like terms: -20 + 5 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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