(16-x)-(x-16)=(20+x)-(10-x)

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Solution for (16-x)-(x-16)=(20+x)-(10-x) equation: 


Simplifying
(16 + -1x) + -1(x + -16) = (20 + x) + -1(10 + -1x)

Remove parenthesis around (16 + -1x)
16 + -1x + -1(x + -16) = (20 + x) + -1(10 + -1x)

Reorder the terms:
16 + -1x + -1(-16 + x) = (20 + x) + -1(10 + -1x)
16 + -1x + (-16 * -1 + x * -1) = (20 + x) + -1(10 + -1x)
16 + -1x + (16 + -1x) = (20 + x) + -1(10 + -1x)

Reorder the terms:
16 + 16 + -1x + -1x = (20 + x) + -1(10 + -1x)

Combine like terms: 16 + 16 = 32
32 + -1x + -1x = (20 + x) + -1(10 + -1x)

Combine like terms: -1x + -1x = -2x
32 + -2x = (20 + x) + -1(10 + -1x)

Remove parenthesis around (20 + x)
32 + -2x = 20 + x + -1(10 + -1x)
32 + -2x = 20 + x + (10 * -1 + -1x * -1)
32 + -2x = 20 + x + (-10 + 1x)

Reorder the terms:
32 + -2x = 20 + -10 + x + 1x

Combine like terms: 20 + -10 = 10
32 + -2x = 10 + x + 1x

Combine like terms: x + 1x = 2x
32 + -2x = 10 + 2x

Solving
32 + -2x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
32 + -2x + -2x = 10 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
32 + -4x = 10 + 0
32 + -4x = 10

Add '-32' to each side of the equation.
32 + -32 + -4x = 10 + -32

Combine like terms: 32 + -32 = 0
0 + -4x = 10 + -32
-4x = 10 + -32

Combine like terms: 10 + -32 = -22
-4x = -22

Divide each side by '-4'.
x = 5.5

Simplifying
x = 5.5

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