6(3z-1)=10z-42

Solution for 6(3z-1)=10z-42 equation:

Simplifying
6(3z + -1) = 10z + -42

Reorder the terms:
6(-1 + 3z) = 10z + -42
(-1 * 6 + 3z * 6) = 10z + -42
(-6 + 18z) = 10z + -42

Reorder the terms:
-6 + 18z = -42 + 10z

Solving
-6 + 18z = -42 + 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 + 18z + -10z = -42 + 10z + -10z

Combine like terms: 18z + -10z = 8z
-6 + 8z = -42 + 10z + -10z

Combine like terms: 10z + -10z = 0
-6 + 8z = -42 + 0
-6 + 8z = -42

Add '6' to each side of the equation.
-6 + 6 + 8z = -42 + 6

Combine like terms: -6 + 6 = 0
0 + 8z = -42 + 6
8z = -42 + 6

Combine like terms: -42 + 6 = -36
8z = -36

Divide each side by '8'.
z = -4.5

Simplifying
z = -4.5