2(z-3)=5-3z

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

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

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

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

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
-6 + 2z + 3z = 5 + -3z + 3z

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

Combine like terms: -3z + 3z = 0
-6 + 5z = 5 + 0
-6 + 5z = 5

Add '6' to each side of the equation.
-6 + 6 + 5z = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 5z = 5 + 6
5z = 5 + 6

Combine like terms: 5 + 6 = 11
5z = 11

Divide each side by '5'.
z = 2.2

Simplifying
z = 2.2