2z-3(z-1)=-(5z+6)+z

Solution for 2z-3(z-1)=-(5z+6)+z equation:

Simplifying
2z + -3(z + -1) = -1(5z + 6) + z

Reorder the terms:
2z + -3(-1 + z) = -1(5z + 6) + z
2z + (-1 * -3 + z * -3) = -1(5z + 6) + z
2z + (3 + -3z) = -1(5z + 6) + z

Reorder the terms:
3 + 2z + -3z = -1(5z + 6) + z

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

Reorder the terms:
3 + -1z = -1(6 + 5z) + z
3 + -1z = (6 * -1 + 5z * -1) + z
3 + -1z = (-6 + -5z) + z

Combine like terms: -5z + z = -4z
3 + -1z = -6 + -4z

Solving
3 + -1z = -6 + -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
3 + -1z + 4z = -6 + -4z + 4z

Combine like terms: -1z + 4z = 3z
3 + 3z = -6 + -4z + 4z

Combine like terms: -4z + 4z = 0
3 + 3z = -6 + 0
3 + 3z = -6

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

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

Combine like terms: -6 + -3 = -9
3z = -9

Divide each side by '3'.
z = -3

Simplifying
z = -3