2z+23=3(2-z)

Solution for 2z+23=3(2-z) equation:

Simplifying
2z + 23 = 3(2 + -1z)

Reorder the terms:
23 + 2z = 3(2 + -1z)
23 + 2z = (2 * 3 + -1z * 3)
23 + 2z = (6 + -3z)

Solving
23 + 2z = 6 + -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.
23 + 2z + 3z = 6 + -3z + 3z

Combine like terms: 2z + 3z = 5z
23 + 5z = 6 + -3z + 3z

Combine like terms: -3z + 3z = 0
23 + 5z = 6 + 0
23 + 5z = 6

Add '-23' to each side of the equation.
23 + -23 + 5z = 6 + -23

Combine like terms: 23 + -23 = 0
0 + 5z = 6 + -23
5z = 6 + -23

Combine like terms: 6 + -23 = -17
5z = -17

Divide each side by '5'.
z = -3.4

Simplifying
z = -3.4