6+x-2=2x-1

Solution for 6+x-2=2x-1 equation:

Simplifying
6 + x + -2 = 2x + -1

Reorder the terms:
6 + -2 + x = 2x + -1

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

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

Solving
4 + x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + x + -2x = -1 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
4 + -1x = -1 + 0
4 + -1x = -1

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

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5