32=2x(L+W)

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Solution for 32=2x(L+W) equation: 


Simplifying
32 = 2x(L + W)
32 = (L * 2x + W * 2x)
32 = (2xL + 2xW)

Solving
32 = 2xL + 2xW

Solving for variable 'x'.

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

Add '-2xL' to each side of the equation.
32 + -2xL = 2xL + -2xL + 2xW

Combine like terms: 2xL + -2xL = 0
32 + -2xL = 0 + 2xW
32 + -2xL = 2xW

Add '-2xW' to each side of the equation.
32 + -2xL + -2xW = 2xW + -2xW

Combine like terms: 2xW + -2xW = 0
32 + -2xL + -2xW = 0

Add '-32' to each side of the equation.
32 + -2xL + -32 + -2xW = 0 + -32

Reorder the terms:
32 + -32 + -2xL + -2xW = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -2xL + -2xW = 0 + -32
-2xL + -2xW = 0 + -32

Combine like terms: 0 + -32 = -32
-2xL + -2xW = -32

Reorder the terms:
32 + -2xL + -2xW = -32 + 32

Combine like terms: -32 + 32 = 0
32 + -2xL + -2xW = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + -1xL + -1xW) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(16 + -1xL + -1xW)' equal to zero and attempt to solve:

Simplifying
16 + -1xL + -1xW = 0

Solving
16 + -1xL + -1xW = 0

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

Add '-16' to each side of the equation.
16 + -1xL + -16 + -1xW = 0 + -16

Reorder the terms:
16 + -16 + -1xL + -1xW = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1xL + -1xW = 0 + -16
-1xL + -1xW = 0 + -16

Combine like terms: 0 + -16 = -16
-1xL + -1xW = -16

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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