2(z-3)+3z=14

Solution for 2(z-3)+3z=14 equation:

Simplifying
2(z + -3) + 3z = 14

Reorder the terms:
2(-3 + z) + 3z = 14
(-3 * 2 + z * 2) + 3z = 14
(-6 + 2z) + 3z = 14

Combine like terms: 2z + 3z = 5z
-6 + 5z = 14

Solving
-6 + 5z = 14

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 + 5z = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 5z = 14 + 6
5z = 14 + 6

Combine like terms: 14 + 6 = 20
5z = 20

Divide each side by '5'.
z = 4

Simplifying
z = 4