15z-6=3(8z-5)

Solution for 15z-6=3(8z-5) equation:

Simplifying
15z + -6 = 3(8z + -5)

Reorder the terms:
-6 + 15z = 3(8z + -5)

Reorder the terms:
-6 + 15z = 3(-5 + 8z)
-6 + 15z = (-5 * 3 + 8z * 3)
-6 + 15z = (-15 + 24z)

Solving
-6 + 15z = -15 + 24z

Solving for variable 'z'.

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

Add '-24z' to each side of the equation.
-6 + 15z + -24z = -15 + 24z + -24z

Combine like terms: 15z + -24z = -9z
-6 + -9z = -15 + 24z + -24z

Combine like terms: 24z + -24z = 0
-6 + -9z = -15 + 0
-6 + -9z = -15

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

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

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

Divide each side by '-9'.
z = 1

Simplifying
z = 1