3(z-8)=7z

Solution for 3(z-8)=7z equation:

Simplifying
3(z + -8) = 7z

Reorder the terms:
3(-8 + z) = 7z
(-8 * 3 + z * 3) = 7z
(-24 + 3z) = 7z

Solving
-24 + 3z = 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-24 + 3z + -7z = 7z + -7z

Combine like terms: 3z + -7z = -4z
-24 + -4z = 7z + -7z

Combine like terms: 7z + -7z = 0
-24 + -4z = 0

Add '24' to each side of the equation.
-24 + 24 + -4z = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -4z = 0 + 24
-4z = 0 + 24

Combine like terms: 0 + 24 = 24
-4z = 24

Divide each side by '-4'.
z = -6

Simplifying
z = -6