x+(20+x)+(22+3*x)=853

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Solution for x+(20+x)+(22+3*x)=853 equation:


Simplifying
x + (20 + x) + (22 + 3x) = 853

Remove parenthesis around (20 + x)
x + 20 + x + (22 + 3x) = 853

Remove parenthesis around (22 + 3x)
x + 20 + x + 22 + 3x = 853

Reorder the terms:
20 + 22 + x + x + 3x = 853

Combine like terms: 20 + 22 = 42
42 + x + x + 3x = 853

Combine like terms: x + x = 2x
42 + 2x + 3x = 853

Combine like terms: 2x + 3x = 5x
42 + 5x = 853

Solving
42 + 5x = 853

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 5x = 853 + -42

Combine like terms: 42 + -42 = 0
0 + 5x = 853 + -42
5x = 853 + -42

Combine like terms: 853 + -42 = 811
5x = 811

Divide each side by '5'.
x = 162.2

Simplifying
x = 162.2

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