11x+2[7+2(-3x-2)]=8(11x+4)

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Solution for 11x+2[7+2(-3x-2)]=8(11x+4) equation:


Simplifying
11x + 2[7 + 2(-3x + -2)] = 8(11x + 4)

Reorder the terms:
11x + 2[7 + 2(-2 + -3x)] = 8(11x + 4)
11x + 2[7 + (-2 * 2 + -3x * 2)] = 8(11x + 4)
11x + 2[7 + (-4 + -6x)] = 8(11x + 4)

Combine like terms: 7 + -4 = 3
11x + 2[3 + -6x] = 8(11x + 4)
11x + [3 * 2 + -6x * 2] = 8(11x + 4)
11x + [6 + -12x] = 8(11x + 4)

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

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

Reorder the terms:
6 + -1x = 8(4 + 11x)
6 + -1x = (4 * 8 + 11x * 8)
6 + -1x = (32 + 88x)

Solving
6 + -1x = 32 + 88x

Solving for variable 'x'.

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

Add '-88x' to each side of the equation.
6 + -1x + -88x = 32 + 88x + -88x

Combine like terms: -1x + -88x = -89x
6 + -89x = 32 + 88x + -88x

Combine like terms: 88x + -88x = 0
6 + -89x = 32 + 0
6 + -89x = 32

Add '-6' to each side of the equation.
6 + -6 + -89x = 32 + -6

Combine like terms: 6 + -6 = 0
0 + -89x = 32 + -6
-89x = 32 + -6

Combine like terms: 32 + -6 = 26
-89x = 26

Divide each side by '-89'.
x = -0.2921348315

Simplifying
x = -0.2921348315

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