5z-3=2(z-3)

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

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

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

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

Solving
-3 + 5z = -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.
-3 + 5z + -2z = -6 + 2z + -2z

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

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

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

Simplifying
z = -1