5(z-4)=2z-5

Solution for 5(z-4)=2z-5 equation:

Simplifying
5(z + -4) = 2z + -5

Reorder the terms:
5(-4 + z) = 2z + -5
(-4 * 5 + z * 5) = 2z + -5
(-20 + 5z) = 2z + -5

Reorder the terms:
-20 + 5z = -5 + 2z

Solving
-20 + 5z = -5 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-20 + 5z + -2z = -5 + 2z + -2z

Combine like terms: 5z + -2z = 3z
-20 + 3z = -5 + 2z + -2z

Combine like terms: 2z + -2z = 0
-20 + 3z = -5 + 0
-20 + 3z = -5

Add '20' to each side of the equation.
-20 + 20 + 3z = -5 + 20

Combine like terms: -20 + 20 = 0
0 + 3z = -5 + 20
3z = -5 + 20

Combine like terms: -5 + 20 = 15
3z = 15

Divide each side by '3'.
z = 5

Simplifying
z = 5