-3z-1=2z+6

Solution for -3z-1=2z+6 equation:

Simplifying
-3z + -1 = 2z + 6

Reorder the terms:
-1 + -3z = 2z + 6

Reorder the terms:
-1 + -3z = 6 + 2z

Solving
-1 + -3z = 6 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-1 + -3z + -2z = 6 + 2z + -2z

Combine like terms: -3z + -2z = -5z
-1 + -5z = 6 + 2z + -2z

Combine like terms: 2z + -2z = 0
-1 + -5z = 6 + 0
-1 + -5z = 6

Add '1' to each side of the equation.
-1 + 1 + -5z = 6 + 1

Combine like terms: -1 + 1 = 0
0 + -5z = 6 + 1
-5z = 6 + 1

Combine like terms: 6 + 1 = 7
-5z = 7

Divide each side by '-5'.
z = -1.4

Simplifying
z = -1.4