-2(z+3)-z=z-(z-2)

Solution for -2(z+3)-z=z-(z-2) equation:

Simplifying
-2(z + 3) + -1z = z + -1(z + -2)

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

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

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

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

Combine like terms: z + -1z = 0
-6 + -3z = 2 + 0
-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