8x-(x-33)=5

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

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

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

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

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

Solving
33 + 7x = 5

Solving for variable 'x'.

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

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