[X-20+[X-20*0.5]]-[20+[X-20*0.5]]=2X

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Solution for [X-20+[X-20*0.5]]-[20+[X-20*0.5]]=2X equation: 


Simplifying
[X + -20 + [X + -20 * 0.5]] + -1[20 + [X + -20 * 0.5]] = 2X

Multiply -20 * 0.5
[X + -20 + [X + -10]] + -1[20 + [X + -20 * 0.5]] = 2X

Reorder the terms:
[X + -20 + [-10 + X]] + -1[20 + [X + -20 * 0.5]] = 2X

Remove brackets around [-10 + X]
[X + -20 + -10 + X] + -1[20 + [X + -20 * 0.5]] = 2X

Reorder the terms:
[-20 + -10 + X + X] + -1[20 + [X + -20 * 0.5]] = 2X

Combine like terms: -20 + -10 = -30
[-30 + X + X] + -1[20 + [X + -20 * 0.5]] = 2X

Combine like terms: X + X = 2X
[-30 + 2X] + -1[20 + [X + -20 * 0.5]] = 2X

Remove brackets around [-30 + 2X]
-30 + 2X + -1[20 + [X + -20 * 0.5]] = 2X

Multiply -20 * 0.5
-30 + 2X + -1[20 + [X + -10]] = 2X

Reorder the terms:
-30 + 2X + -1[20 + [-10 + X]] = 2X

Remove brackets around [-10 + X]
-30 + 2X + -1[20 + -10 + X] = 2X

Combine like terms: 20 + -10 = 10
-30 + 2X + -1[10 + X] = 2X
-30 + 2X + [10 * -1 + X * -1] = 2X
-30 + 2X + [-10 + -1X] = 2X

Reorder the terms:
-30 + -10 + 2X + -1X = 2X

Combine like terms: -30 + -10 = -40
-40 + 2X + -1X = 2X

Combine like terms: 2X + -1X = 1X
-40 + 1X = 2X

Solving
-40 + 1X = 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.
-40 + 1X + -2X = 2X + -2X

Combine like terms: 1X + -2X = -1X
-40 + -1X = 2X + -2X

Combine like terms: 2X + -2X = 0
-40 + -1X = 0

Add '40' to each side of the equation.
-40 + 40 + -1X = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -1X = 0 + 40
-1X = 0 + 40

Combine like terms: 0 + 40 = 40
-1X = 40

Divide each side by '-1'.
X = -40

Simplifying
X = -40

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