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

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

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

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

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

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

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

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

Combine like terms: -1 + -5 = -6
-6 + x + 2x = 1

Combine like terms: x + 2x = 3x
-6 + 3x = 1

Solving
-6 + 3x = 1

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 = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 1 + 6
3x = 1 + 6

Combine like terms: 1 + 6 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333