21x+6=17x-33

Solution for 21x+6=17x-33 equation:

Simplifying
21x + 6 = 17x + -33

Reorder the terms:
6 + 21x = 17x + -33

Reorder the terms:
6 + 21x = -33 + 17x

Solving
6 + 21x = -33 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
6 + 21x + -17x = -33 + 17x + -17x

Combine like terms: 21x + -17x = 4x
6 + 4x = -33 + 17x + -17x

Combine like terms: 17x + -17x = 0
6 + 4x = -33 + 0
6 + 4x = -33

Add '-6' to each side of the equation.
6 + -6 + 4x = -33 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = -33 + -6
4x = -33 + -6

Combine like terms: -33 + -6 = -39
4x = -39

Divide each side by '4'.
x = -9.75

Simplifying
x = -9.75