[6-2x]+[x-5]=5

Solution for [6-2x]+[x-5]=5 equation:

Simplifying
[6 + -2x] + [x + -5] = 5

Remove brackets around [6 + -2x]
6 + -2x + [x + -5] = 5

Reorder the terms:
6 + -2x + [-5 + x] = 5

Remove brackets around [-5 + x]
6 + -2x + -5 + x = 5

Reorder the terms:
6 + -5 + -2x + x = 5

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

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

Solving
1 + -1x = 5

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 5 + -1
-1x = 5 + -1

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

Divide each side by '-1'.
x = -4

Simplifying
x = -4