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

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


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

Reorder the terms:
32 = 2(6 + x) + 2(x)
32 = (6 * 2 + x * 2) + 2(x)
32 = (12 + 2x) + 2(x)

Combine like terms: 2x + 2x = 4x
32 = 12 + 4x

Solving
32 = 12 + 4x

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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