32=2(4+3X)+2(X+6)

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Solution for 32=2(4+3X)+2(X+6) equation:


Simplifying
32 = 2(4 + 3X) + 2(X + 6)
32 = (4 * 2 + 3X * 2) + 2(X + 6)
32 = (8 + 6X) + 2(X + 6)

Reorder the terms:
32 = 8 + 6X + 2(6 + X)
32 = 8 + 6X + (6 * 2 + X * 2)
32 = 8 + 6X + (12 + 2X)

Reorder the terms:
32 = 8 + 12 + 6X + 2X

Combine like terms: 8 + 12 = 20
32 = 20 + 6X + 2X

Combine like terms: 6X + 2X = 8X
32 = 20 + 8X

Solving
32 = 20 + 8X

Solving for variable 'X'.

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

Add '-8X' to each side of the equation.
32 + -8X = 20 + 8X + -8X

Combine like terms: 8X + -8X = 0
32 + -8X = 20 + 0
32 + -8X = 20

Add '-32' to each side of the equation.
32 + -32 + -8X = 20 + -32

Combine like terms: 32 + -32 = 0
0 + -8X = 20 + -32
-8X = 20 + -32

Combine like terms: 20 + -32 = -12
-8X = -12

Divide each side by '-8'.
X = 1.5

Simplifying
X = 1.5

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