6(z-1)=z+4

Solution for 6(z-1)=z+4 equation:

Simplifying
6(z + -1) = z + 4

Reorder the terms:
6(-1 + z) = z + 4
(-1 * 6 + z * 6) = z + 4
(-6 + 6z) = z + 4

Reorder the terms:
-6 + 6z = 4 + z

Solving
-6 + 6z = 4 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-6 + 6z + -1z = 4 + z + -1z

Combine like terms: 6z + -1z = 5z
-6 + 5z = 4 + z + -1z

Combine like terms: z + -1z = 0
-6 + 5z = 4 + 0
-6 + 5z = 4

Add '6' to each side of the equation.
-6 + 6 + 5z = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 5z = 4 + 6
5z = 4 + 6

Combine like terms: 4 + 6 = 10
5z = 10

Divide each side by '5'.
z = 2

Simplifying
z = 2