(x+1)+(x-5)+1=57

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Solution for (x+1)+(x-5)+1=57 equation:


Simplifying
(x + 1) + (x + -5) + 1 = 57

Reorder the terms:
(1 + x) + (x + -5) + 1 = 57

Remove parenthesis around (1 + x)
1 + x + (x + -5) + 1 = 57

Reorder the terms:
1 + x + (-5 + x) + 1 = 57

Remove parenthesis around (-5 + x)
1 + x + -5 + x + 1 = 57

Reorder the terms:
1 + -5 + 1 + x + x = 57

Combine like terms: 1 + -5 = -4
-4 + 1 + x + x = 57

Combine like terms: -4 + 1 = -3
-3 + x + x = 57

Combine like terms: x + x = 2x
-3 + 2x = 57

Solving
-3 + 2x = 57

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 57 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 57 + 3
2x = 57 + 3

Combine like terms: 57 + 3 = 60
2x = 60

Divide each side by '2'.
x = 30

Simplifying
x = 30

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