6(z+1)=10z

Solution for 6(z+1)=10z equation:

Simplifying
6(z + 1) = 10z

Reorder the terms:
6(1 + z) = 10z
(1 * 6 + z * 6) = 10z
(6 + 6z) = 10z

Solving
6 + 6z = 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
6 + 6z + -10z = 10z + -10z

Combine like terms: 6z + -10z = -4z
6 + -4z = 10z + -10z

Combine like terms: 10z + -10z = 0
6 + -4z = 0

Add '-6' to each side of the equation.
6 + -6 + -4z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4z = 0 + -6
-4z = 0 + -6

Combine like terms: 0 + -6 = -6
-4z = -6

Divide each side by '-4'.
z = 1.5

Simplifying
z = 1.5