11x-3(4x-2)=2(8+2x)

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Solution for 11x-3(4x-2)=2(8+2x) equation:


Simplifying
11x + -3(4x + -2) = 2(8 + 2x)

Reorder the terms:
11x + -3(-2 + 4x) = 2(8 + 2x)
11x + (-2 * -3 + 4x * -3) = 2(8 + 2x)
11x + (6 + -12x) = 2(8 + 2x)

Reorder the terms:
6 + 11x + -12x = 2(8 + 2x)

Combine like terms: 11x + -12x = -1x
6 + -1x = 2(8 + 2x)
6 + -1x = (8 * 2 + 2x * 2)
6 + -1x = (16 + 4x)

Solving
6 + -1x = 16 + 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.
6 + -1x + -4x = 16 + 4x + -4x

Combine like terms: -1x + -4x = -5x
6 + -5x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -5x = 16 + 0
6 + -5x = 16

Add '-6' to each side of the equation.
6 + -6 + -5x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 16 + -6
-5x = 16 + -6

Combine like terms: 16 + -6 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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