-(x+6-5y)=(x-4+8)

Solution for -(x+6-5y)=(x-4+8) equation:

Simplifying
-1(x + 6 + -5y) = (x + -4 + 8)

Reorder the terms:
-1(6 + x + -5y) = (x + -4 + 8)
(6 * -1 + x * -1 + -5y * -1) = (x + -4 + 8)
(-6 + -1x + 5y) = (x + -4 + 8)

Reorder the terms:
-6 + -1x + 5y = (-4 + 8 + x)

Combine like terms: -4 + 8 = 4
-6 + -1x + 5y = (4 + x)

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

Solving
-6 + -1x + 5y = 4 + 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 + -1x + -1x + 5y = 4 + x + -1x

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

Combine like terms: x + -1x = 0
-6 + -2x + 5y = 4 + 0
-6 + -2x + 5y = 4

Add '6' to each side of the equation.
-6 + -2x + 6 + 5y = 4 + 6

Reorder the terms:
-6 + 6 + -2x + 5y = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -2x + 5y = 4 + 6
-2x + 5y = 4 + 6

Combine like terms: 4 + 6 = 10
-2x + 5y = 10

Add '-5y' to each side of the equation.
-2x + 5y + -5y = 10 + -5y

Combine like terms: 5y + -5y = 0
-2x + 0 = 10 + -5y
-2x = 10 + -5y

Divide each side by '-2'.
x = -5 + 2.5y

Simplifying
x = -5 + 2.5y