(3x+2)+(3x+2)+x=46

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Solution for (3x+2)+(3x+2)+x=46 equation:


Simplifying
(3x + 2) + (3x + 2) + x = 46

Reorder the terms:
(2 + 3x) + (3x + 2) + x = 46

Remove parenthesis around (2 + 3x)
2 + 3x + (3x + 2) + x = 46

Reorder the terms:
2 + 3x + (2 + 3x) + x = 46

Remove parenthesis around (2 + 3x)
2 + 3x + 2 + 3x + x = 46

Reorder the terms:
2 + 2 + 3x + 3x + x = 46

Combine like terms: 2 + 2 = 4
4 + 3x + 3x + x = 46

Combine like terms: 3x + 3x = 6x
4 + 6x + x = 46

Combine like terms: 6x + x = 7x
4 + 7x = 46

Solving
4 + 7x = 46

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 7x = 46 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 46 + -4
7x = 46 + -4

Combine like terms: 46 + -4 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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