2(z-23)+4(z-3)=38

Solution for 2(z-23)+4(z-3)=38 equation:

Simplifying
2(z + -23) + 4(z + -3) = 38

Reorder the terms:
2(-23 + z) + 4(z + -3) = 38
(-23 * 2 + z * 2) + 4(z + -3) = 38
(-46 + 2z) + 4(z + -3) = 38

Reorder the terms:
-46 + 2z + 4(-3 + z) = 38
-46 + 2z + (-3 * 4 + z * 4) = 38
-46 + 2z + (-12 + 4z) = 38

Reorder the terms:
-46 + -12 + 2z + 4z = 38

Combine like terms: -46 + -12 = -58
-58 + 2z + 4z = 38

Combine like terms: 2z + 4z = 6z
-58 + 6z = 38

Solving
-58 + 6z = 38

Solving for variable 'z'.

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

Add '58' to each side of the equation.
-58 + 58 + 6z = 38 + 58

Combine like terms: -58 + 58 = 0
0 + 6z = 38 + 58
6z = 38 + 58

Combine like terms: 38 + 58 = 96
6z = 96

Divide each side by '6'.
z = 16

Simplifying
z = 16