(10+x)=(10-x)+(15+x)+(13-x)+(12-x)+(28+x)+(x)

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Solution for (10+x)=(10-x)+(15+x)+(13-x)+(12-x)+(28+x)+(x) equation: 


Simplifying
(10 + x) = (10 + -1x) + (15 + x) + (13 + -1x) + (12 + -1x) + (28 + x) + (x)

Remove parenthesis around (10 + x)
10 + x = (10 + -1x) + (15 + x) + (13 + -1x) + (12 + -1x) + (28 + x) + (x)

Remove parenthesis around (10 + -1x)
10 + x = 10 + -1x + (15 + x) + (13 + -1x) + (12 + -1x) + (28 + x) + (x)

Remove parenthesis around (15 + x)
10 + x = 10 + -1x + 15 + x + (13 + -1x) + (12 + -1x) + (28 + x) + (x)

Remove parenthesis around (13 + -1x)
10 + x = 10 + -1x + 15 + x + 13 + -1x + (12 + -1x) + (28 + x) + (x)

Remove parenthesis around (12 + -1x)
10 + x = 10 + -1x + 15 + x + 13 + -1x + 12 + -1x + (28 + x) + (x)

Remove parenthesis around (28 + x)
10 + x = 10 + -1x + 15 + x + 13 + -1x + 12 + -1x + 28 + x + (x)
10 + x = 10 + -1x + 15 + x + 13 + -1x + 12 + -1x + 28 + x + x

Reorder the terms:
10 + x = 10 + 15 + 13 + 12 + 28 + -1x + x + -1x + -1x + x + x

Combine like terms: 10 + 15 = 25
10 + x = 25 + 13 + 12 + 28 + -1x + x + -1x + -1x + x + x

Combine like terms: 25 + 13 = 38
10 + x = 38 + 12 + 28 + -1x + x + -1x + -1x + x + x

Combine like terms: 38 + 12 = 50
10 + x = 50 + 28 + -1x + x + -1x + -1x + x + x

Combine like terms: 50 + 28 = 78
10 + x = 78 + -1x + x + -1x + -1x + x + x

Combine like terms: -1x + x = 0
10 + x = 78 + 0 + -1x + -1x + x + x
10 + x = 78 + -1x + -1x + x + x

Combine like terms: -1x + -1x = -2x
10 + x = 78 + -2x + x + x

Combine like terms: -2x + x = -1x
10 + x = 78 + -1x + x

Combine like terms: -1x + x = 0
10 + x = 78 + 0
10 + x = 78

Solving
10 + x = 78

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + x = 78 + -10

Combine like terms: 10 + -10 = 0
0 + x = 78 + -10
x = 78 + -10

Combine like terms: 78 + -10 = 68
x = 68

Simplifying
x = 68

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