2(z-20)+3z=10

Solution for 2(z-20)+3z=10 equation:

Simplifying
2(z + -20) + 3z = 10

Reorder the terms:
2(-20 + z) + 3z = 10
(-20 * 2 + z * 2) + 3z = 10
(-40 + 2z) + 3z = 10

Combine like terms: 2z + 3z = 5z
-40 + 5z = 10

Solving
-40 + 5z = 10

Solving for variable 'z'.

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

Add '40' to each side of the equation.
-40 + 40 + 5z = 10 + 40

Combine like terms: -40 + 40 = 0
0 + 5z = 10 + 40
5z = 10 + 40

Combine like terms: 10 + 40 = 50
5z = 50

Divide each side by '5'.
z = 10

Simplifying
z = 10