33-8x=-(x-5)

Solution for 33-8x=-(x-5) equation:

Simplifying
33 + -8x = -1(x + -5)

Reorder the terms:
33 + -8x = -1(-5 + x)
33 + -8x = (-5 * -1 + x * -1)
33 + -8x = (5 + -1x)

Solving
33 + -8x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
33 + -8x + x = 5 + -1x + x

Combine like terms: -8x + x = -7x
33 + -7x = 5 + -1x + x

Combine like terms: -1x + x = 0
33 + -7x = 5 + 0
33 + -7x = 5

Add '-33' to each side of the equation.
33 + -33 + -7x = 5 + -33

Combine like terms: 33 + -33 = 0
0 + -7x = 5 + -33
-7x = 5 + -33

Combine like terms: 5 + -33 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4