(x+6)+(2x+4)+(x+2)=32

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Solution for (x+6)+(2x+4)+(x+2)=32 equation:


Simplifying
(x + 6) + (2x + 4) + (x + 2) = 32

Reorder the terms:
(6 + x) + (2x + 4) + (x + 2) = 32

Remove parenthesis around (6 + x)
6 + x + (2x + 4) + (x + 2) = 32

Reorder the terms:
6 + x + (4 + 2x) + (x + 2) = 32

Remove parenthesis around (4 + 2x)
6 + x + 4 + 2x + (x + 2) = 32

Reorder the terms:
6 + x + 4 + 2x + (2 + x) = 32

Remove parenthesis around (2 + x)
6 + x + 4 + 2x + 2 + x = 32

Reorder the terms:
6 + 4 + 2 + x + 2x + x = 32

Combine like terms: 6 + 4 = 10
10 + 2 + x + 2x + x = 32

Combine like terms: 10 + 2 = 12
12 + x + 2x + x = 32

Combine like terms: x + 2x = 3x
12 + 3x + x = 32

Combine like terms: 3x + x = 4x
12 + 4x = 32

Solving
12 + 4x = 32

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 4x = 32 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 32 + -12
4x = 32 + -12

Combine like terms: 32 + -12 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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