3x+(2x+4)+(3x-6)=22

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Solution for 3x+(2x+4)+(3x-6)=22 equation:


Simplifying
3x + (2x + 4) + (3x + -6) = 22

Reorder the terms:
3x + (4 + 2x) + (3x + -6) = 22

Remove parenthesis around (4 + 2x)
3x + 4 + 2x + (3x + -6) = 22

Reorder the terms:
3x + 4 + 2x + (-6 + 3x) = 22

Remove parenthesis around (-6 + 3x)
3x + 4 + 2x + -6 + 3x = 22

Reorder the terms:
4 + -6 + 3x + 2x + 3x = 22

Combine like terms: 4 + -6 = -2
-2 + 3x + 2x + 3x = 22

Combine like terms: 3x + 2x = 5x
-2 + 5x + 3x = 22

Combine like terms: 5x + 3x = 8x
-2 + 8x = 22

Solving
-2 + 8x = 22

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 8x = 22 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = 22 + 2
8x = 22 + 2

Combine like terms: 22 + 2 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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