9-4(z-6)=3(2z-5)

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Solution for 9-4(z-6)=3(2z-5) equation: 


Simplifying
9 + -4(z + -6) = 3(2z + -5)

Reorder the terms:
9 + -4(-6 + z) = 3(2z + -5)
9 + (-6 * -4 + z * -4) = 3(2z + -5)
9 + (24 + -4z) = 3(2z + -5)

Combine like terms: 9 + 24 = 33
33 + -4z = 3(2z + -5)

Reorder the terms:
33 + -4z = 3(-5 + 2z)
33 + -4z = (-5 * 3 + 2z * 3)
33 + -4z = (-15 + 6z)

Solving
33 + -4z = -15 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
33 + -4z + -6z = -15 + 6z + -6z

Combine like terms: -4z + -6z = -10z
33 + -10z = -15 + 6z + -6z

Combine like terms: 6z + -6z = 0
33 + -10z = -15 + 0
33 + -10z = -15

Add '-33' to each side of the equation.
33 + -33 + -10z = -15 + -33

Combine like terms: 33 + -33 = 0
0 + -10z = -15 + -33
-10z = -15 + -33

Combine like terms: -15 + -33 = -48
-10z = -48

Divide each side by '-10'.
z = 4.8

Simplifying
z = 4.8

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