x+(x+10)+(x+20)+(x+30)=84

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Solution for x+(x+10)+(x+20)+(x+30)=84 equation:


Simplifying
x + (x + 10) + (x + 20) + (x + 30) = 84

Reorder the terms:
x + (10 + x) + (x + 20) + (x + 30) = 84

Remove parenthesis around (10 + x)
x + 10 + x + (x + 20) + (x + 30) = 84

Reorder the terms:
x + 10 + x + (20 + x) + (x + 30) = 84

Remove parenthesis around (20 + x)
x + 10 + x + 20 + x + (x + 30) = 84

Reorder the terms:
x + 10 + x + 20 + x + (30 + x) = 84

Remove parenthesis around (30 + x)
x + 10 + x + 20 + x + 30 + x = 84

Reorder the terms:
10 + 20 + 30 + x + x + x + x = 84

Combine like terms: 10 + 20 = 30
30 + 30 + x + x + x + x = 84

Combine like terms: 30 + 30 = 60
60 + x + x + x + x = 84

Combine like terms: x + x = 2x
60 + 2x + x + x = 84

Combine like terms: 2x + x = 3x
60 + 3x + x = 84

Combine like terms: 3x + x = 4x
60 + 4x = 84

Solving
60 + 4x = 84

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 4x = 84 + -60

Combine like terms: 60 + -60 = 0
0 + 4x = 84 + -60
4x = 84 + -60

Combine like terms: 84 + -60 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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