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

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Solution for 50=(x-2)+[8+(3x-4)] equation:


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

Reorder the terms:
50 = (-2 + x) + [8 + (3x + -4)]

Remove parenthesis around (-2 + x)
50 = -2 + x + [8 + (3x + -4)]

Reorder the terms:
50 = -2 + x + [8 + (-4 + 3x)]

Remove parenthesis around (-4 + 3x)
50 = -2 + x + [8 + -4 + 3x]

Combine like terms: 8 + -4 = 4
50 = -2 + x + [4 + 3x]

Remove brackets around [4 + 3x]
50 = -2 + x + 4 + 3x

Reorder the terms:
50 = -2 + 4 + x + 3x

Combine like terms: -2 + 4 = 2
50 = 2 + x + 3x

Combine like terms: x + 3x = 4x
50 = 2 + 4x

Solving
50 = 2 + 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.
50 + -4x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
50 + -4x = 2 + 0
50 + -4x = 2

Add '-50' to each side of the equation.
50 + -50 + -4x = 2 + -50

Combine like terms: 50 + -50 = 0
0 + -4x = 2 + -50
-4x = 2 + -50

Combine like terms: 2 + -50 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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