24(z-1)=3(z+2)

Solution for 24(z-1)=3(z+2) equation:

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

Reorder the terms:
24(-1 + z) = 3(z + 2)
(-1 * 24 + z * 24) = 3(z + 2)
(-24 + 24z) = 3(z + 2)

Reorder the terms:
-24 + 24z = 3(2 + z)
-24 + 24z = (2 * 3 + z * 3)
-24 + 24z = (6 + 3z)

Solving
-24 + 24z = 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.
-24 + 24z + -3z = 6 + 3z + -3z

Combine like terms: 24z + -3z = 21z
-24 + 21z = 6 + 3z + -3z

Combine like terms: 3z + -3z = 0
-24 + 21z = 6 + 0
-24 + 21z = 6

Add '24' to each side of the equation.
-24 + 24 + 21z = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 21z = 6 + 24
21z = 6 + 24

Combine like terms: 6 + 24 = 30
21z = 30

Divide each side by '21'.
z = 1.428571429

Simplifying
z = 1.428571429