x-1+3x-5=(x-5)-(x-3)+(x+1)

Solution for x-1+3x-5=(x-5)-(x-3)+(x+1) equation:

Simplifying
x + -1 + 3x + -5 = (x + -5) + -1(x + -3) + (x + 1)

Reorder the terms:
-1 + -5 + x + 3x = (x + -5) + -1(x + -3) + (x + 1)

Combine like terms: -1 + -5 = -6
-6 + x + 3x = (x + -5) + -1(x + -3) + (x + 1)

Combine like terms: x + 3x = 4x
-6 + 4x = (x + -5) + -1(x + -3) + (x + 1)

Reorder the terms:
-6 + 4x = (-5 + x) + -1(x + -3) + (x + 1)

Remove parenthesis around (-5 + x)
-6 + 4x = -5 + x + -1(x + -3) + (x + 1)

Reorder the terms:
-6 + 4x = -5 + x + -1(-3 + x) + (x + 1)
-6 + 4x = -5 + x + (-3 * -1 + x * -1) + (x + 1)
-6 + 4x = -5 + x + (3 + -1x) + (x + 1)

Reorder the terms:
-6 + 4x = -5 + x + 3 + -1x + (1 + x)

Remove parenthesis around (1 + x)
-6 + 4x = -5 + x + 3 + -1x + 1 + x

Reorder the terms:
-6 + 4x = -5 + 3 + 1 + x + -1x + x

Combine like terms: -5 + 3 = -2
-6 + 4x = -2 + 1 + x + -1x + x

Combine like terms: -2 + 1 = -1
-6 + 4x = -1 + x + -1x + x

Combine like terms: x + -1x = 0
-6 + 4x = -1 + 0 + x
-6 + 4x = -1 + x

Solving
-6 + 4x = -1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 4x + -1x = -1 + x + -1x

Combine like terms: 4x + -1x = 3x
-6 + 3x = -1 + x + -1x

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

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 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667