6=2x-(x-4)

Solution for 6=2x-(x-4) equation:

Simplifying
6 = 2x + -1(x + -4)

Reorder the terms:
6 = 2x + -1(-4 + x)
6 = 2x + (-4 * -1 + x * -1)
6 = 2x + (4 + -1x)

Reorder the terms:
6 = 4 + 2x + -1x

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

Solving
6 = 4 + 1x

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 + -1x = 4 + 1x + -1x

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

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2