2x+2(x+3)+(x+2)=33

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Solution for 2x+2(x+3)+(x+2)=33 equation: 


Simplifying
2x + 2(x + 3) + (x + 2) = 33

Reorder the terms:
2x + 2(3 + x) + (x + 2) = 33
2x + (3 * 2 + x * 2) + (x + 2) = 33
2x + (6 + 2x) + (x + 2) = 33

Reorder the terms:
2x + 6 + 2x + (2 + x) = 33

Remove parenthesis around (2 + x)
2x + 6 + 2x + 2 + x = 33

Reorder the terms:
6 + 2 + 2x + 2x + x = 33

Combine like terms: 6 + 2 = 8
8 + 2x + 2x + x = 33

Combine like terms: 2x + 2x = 4x
8 + 4x + x = 33

Combine like terms: 4x + x = 5x
8 + 5x = 33

Solving
8 + 5x = 33

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 5x = 33 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 33 + -8
5x = 33 + -8

Combine like terms: 33 + -8 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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