5z-2(z-3)=3

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

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

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

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

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

Solving
6 + 3z = 3

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 = 3 + -6

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

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

Divide each side by '3'.
z = -1

Simplifying
z = -1