4z+z-5z+3z-6=2

Solution for 4z+z-5z+3z-6=2 equation:

Simplifying
4z + z + -5z + 3z + -6 = 2

Reorder the terms:
-6 + 4z + z + -5z + 3z = 2

Combine like terms: 4z + z = 5z
-6 + 5z + -5z + 3z = 2

Combine like terms: 5z + -5z = 0
-6 + 0 + 3z = 2
-6 + 3z = 2

Solving
-6 + 3z = 2

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + 3z = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 3z = 2 + 6
3z = 2 + 6

Combine like terms: 2 + 6 = 8
3z = 8

Divide each side by '3'.
z = 2.666666667

Simplifying
z = 2.666666667