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

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

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

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

Solving
3 + -3z = 5 + -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.
3 + -3z + 2z = 5 + -2z + 2z

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

Combine like terms: -2z + 2z = 0
3 + -1z = 5 + 0
3 + -1z = 5

Add '-3' to each side of the equation.
3 + -3 + -1z = 5 + -3

Combine like terms: 3 + -3 = 0
0 + -1z = 5 + -3
-1z = 5 + -3

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

Divide each side by '-1'.
z = -2

Simplifying
z = -2