(x-5)+(x-2)+(x+1)=57

Solution for (x-5)+(x-2)+(x+1)=57 equation:

Simplifying
(x + -5) + (x + -2) + (x + 1) = 57

Reorder the terms:
(-5 + x) + (x + -2) + (x + 1) = 57

Remove parenthesis around (-5 + x)
-5 + x + (x + -2) + (x + 1) = 57

Reorder the terms:
-5 + x + (-2 + x) + (x + 1) = 57

Remove parenthesis around (-2 + x)
-5 + x + -2 + x + (x + 1) = 57

Reorder the terms:
-5 + x + -2 + x + (1 + x) = 57

Remove parenthesis around (1 + x)
-5 + x + -2 + x + 1 + x = 57

Reorder the terms:
-5 + -2 + 1 + x + x + x = 57

Combine like terms: -5 + -2 = -7
-7 + 1 + x + x + x = 57

Combine like terms: -7 + 1 = -6
-6 + x + x + x = 57

Combine like terms: x + x = 2x
-6 + 2x + x = 57

Combine like terms: 2x + x = 3x
-6 + 3x = 57

Solving
-6 + 3x = 57

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 3x = 57 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 57 + 6
3x = 57 + 6

Combine like terms: 57 + 6 = 63
3x = 63

Divide each side by '3'.
x = 21

Simplifying
x = 21