6(z-1)=3(3z+5)

Solution for 6(z-1)=3(3z+5) equation:

Simplifying
6(z + -1) = 3(3z + 5)

Reorder the terms:
6(-1 + z) = 3(3z + 5)
(-1 * 6 + z * 6) = 3(3z + 5)
(-6 + 6z) = 3(3z + 5)

Reorder the terms:
-6 + 6z = 3(5 + 3z)
-6 + 6z = (5 * 3 + 3z * 3)
-6 + 6z = (15 + 9z)

Solving
-6 + 6z = 15 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
-6 + 6z + -9z = 15 + 9z + -9z

Combine like terms: 6z + -9z = -3z
-6 + -3z = 15 + 9z + -9z

Combine like terms: 9z + -9z = 0
-6 + -3z = 15 + 0
-6 + -3z = 15

Add '6' to each side of the equation.
-6 + 6 + -3z = 15 + 6

Combine like terms: -6 + 6 = 0
0 + -3z = 15 + 6
-3z = 15 + 6

Combine like terms: 15 + 6 = 21
-3z = 21

Divide each side by '-3'.
z = -7

Simplifying
z = -7