6(6+z)=5(z-4)

Solution for 6(6+z)=5(z-4) equation:

Simplifying
6(6 + z) = 5(z + -4)
(6 * 6 + z * 6) = 5(z + -4)
(36 + 6z) = 5(z + -4)

Reorder the terms:
36 + 6z = 5(-4 + z)
36 + 6z = (-4 * 5 + z * 5)
36 + 6z = (-20 + 5z)

Solving
36 + 6z = -20 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
36 + 6z + -5z = -20 + 5z + -5z

Combine like terms: 6z + -5z = 1z
36 + 1z = -20 + 5z + -5z

Combine like terms: 5z + -5z = 0
36 + 1z = -20 + 0
36 + 1z = -20

Add '-36' to each side of the equation.
36 + -36 + 1z = -20 + -36

Combine like terms: 36 + -36 = 0
0 + 1z = -20 + -36
1z = -20 + -36

Combine like terms: -20 + -36 = -56
1z = -56

Divide each side by '1'.
z = -56

Simplifying
z = -56