2(z-20)+3(z-11)=5

Solution for 2(z-20)+3(z-11)=5 equation:

Simplifying
2(z + -20) + 3(z + -11) = 5

Reorder the terms:
2(-20 + z) + 3(z + -11) = 5
(-20 * 2 + z * 2) + 3(z + -11) = 5
(-40 + 2z) + 3(z + -11) = 5

Reorder the terms:
-40 + 2z + 3(-11 + z) = 5
-40 + 2z + (-11 * 3 + z * 3) = 5
-40 + 2z + (-33 + 3z) = 5

Reorder the terms:
-40 + -33 + 2z + 3z = 5

Combine like terms: -40 + -33 = -73
-73 + 2z + 3z = 5

Combine like terms: 2z + 3z = 5z
-73 + 5z = 5

Solving
-73 + 5z = 5

Solving for variable 'z'.

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

Add '73' to each side of the equation.
-73 + 73 + 5z = 5 + 73

Combine like terms: -73 + 73 = 0
0 + 5z = 5 + 73
5z = 5 + 73

Combine like terms: 5 + 73 = 78
5z = 78

Divide each side by '5'.
z = 15.6

Simplifying
z = 15.6