(3+x)+x+(3+x*2)+4=38

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Solution for (3+x)+x+(3+x*2)+4=38 equation:


Simplifying
(3 + x) + x + (3 + x * 2) + 4 = 38

Remove parenthesis around (3 + x)
3 + x + x + (3 + x * 2) + 4 = 38

Reorder the terms for easier multiplication:
3 + x + x + (3 + 2x) + 4 = 38

Remove parenthesis around (3 + 2x)
3 + x + x + 3 + 2x + 4 = 38

Reorder the terms:
3 + 3 + 4 + x + x + 2x = 38

Combine like terms: 3 + 3 = 6
6 + 4 + x + x + 2x = 38

Combine like terms: 6 + 4 = 10
10 + x + x + 2x = 38

Combine like terms: x + x = 2x
10 + 2x + 2x = 38

Combine like terms: 2x + 2x = 4x
10 + 4x = 38

Solving
10 + 4x = 38

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 4x = 38 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 38 + -10
4x = 38 + -10

Combine like terms: 38 + -10 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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