x+2x-2+[x+(2x-2)-60]=60

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Solution for x+2x-2+[x+(2x-2)-60]=60 equation:


Simplifying
x + 2x + -2 + [x + (2x + -2) + -60] = 60

Reorder the terms:
x + 2x + -2 + [x + (-2 + 2x) + -60] = 60

Remove parenthesis around (-2 + 2x)
x + 2x + -2 + [x + -2 + 2x + -60] = 60

Reorder the terms:
x + 2x + -2 + [-2 + -60 + x + 2x] = 60

Combine like terms: -2 + -60 = -62
x + 2x + -2 + [-62 + x + 2x] = 60

Combine like terms: x + 2x = 3x
x + 2x + -2 + [-62 + 3x] = 60

Remove brackets around [-62 + 3x]
x + 2x + -2 + -62 + 3x = 60

Reorder the terms:
-2 + -62 + x + 2x + 3x = 60

Combine like terms: -2 + -62 = -64
-64 + x + 2x + 3x = 60

Combine like terms: x + 2x = 3x
-64 + 3x + 3x = 60

Combine like terms: 3x + 3x = 6x
-64 + 6x = 60

Solving
-64 + 6x = 60

Solving for variable 'x'.

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

Add '64' to each side of the equation.
-64 + 64 + 6x = 60 + 64

Combine like terms: -64 + 64 = 0
0 + 6x = 60 + 64
6x = 60 + 64

Combine like terms: 60 + 64 = 124
6x = 124

Divide each side by '6'.
x = 20.66666667

Simplifying
x = 20.66666667

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