X+[x+5]+[X+11]=55

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Solution for X+[x+5]+[X+11]=55 equation:


Simplifying
X + [x + 5] + [X + 11] = 55

Reorder the terms:
X + [5 + x] + [X + 11] = 55

Remove brackets around [5 + x]
X + 5 + x + [X + 11] = 55

Reorder the terms:
X + 5 + x + [11 + X] = 55

Remove brackets around [11 + X]
X + 5 + x + 11 + X = 55

Reorder the terms:
5 + 11 + X + X + x = 55

Combine like terms: 5 + 11 = 16
16 + X + X + x = 55

Combine like terms: X + X = 2X
16 + 2X + x = 55

Solving
16 + 2X + x = 55

Solving for variable 'X'.

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

Add '-16' to each side of the equation.
16 + 2X + -16 + x = 55 + -16

Reorder the terms:
16 + -16 + 2X + x = 55 + -16

Combine like terms: 16 + -16 = 0
0 + 2X + x = 55 + -16
2X + x = 55 + -16

Combine like terms: 55 + -16 = 39
2X + x = 39

Add '-1x' to each side of the equation.
2X + x + -1x = 39 + -1x

Combine like terms: x + -1x = 0
2X + 0 = 39 + -1x
2X = 39 + -1x

Divide each side by '2'.
X = 19.5 + -0.5x

Simplifying
X = 19.5 + -0.5x

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