(x+10)+[2(x+10)]+6=100

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Solution for (x+10)+[2(x+10)]+6=100 equation:


Simplifying
(x + 10) + [2(x + 10)] + 6 = 100

Reorder the terms:
(10 + x) + [2(x + 10)] + 6 = 100

Remove parenthesis around (10 + x)
10 + x + [2(x + 10)] + 6 = 100

Reorder the terms:
10 + x + [2(10 + x)] + 6 = 100
10 + x + [(10 * 2 + x * 2)] + 6 = 100
10 + x + [(20 + 2x)] + 6 = 100
10 + x + [20 + 2x] + 6 = 100

Remove brackets around [20 + 2x]
10 + x + 20 + 2x + 6 = 100

Reorder the terms:
10 + 20 + 6 + x + 2x = 100

Combine like terms: 10 + 20 = 30
30 + 6 + x + 2x = 100

Combine like terms: 30 + 6 = 36
36 + x + 2x = 100

Combine like terms: x + 2x = 3x
36 + 3x = 100

Solving
36 + 3x = 100

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + 3x = 100 + -36

Combine like terms: 36 + -36 = 0
0 + 3x = 100 + -36
3x = 100 + -36

Combine like terms: 100 + -36 = 64
3x = 64

Divide each side by '3'.
x = 21.33333333

Simplifying
x = 21.33333333

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