20(3z-5)=5(15z-8)

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Solution for 20(3z-5)=5(15z-8) equation:


Simplifying
20(3z + -5) = 5(15z + -8)

Reorder the terms:
20(-5 + 3z) = 5(15z + -8)
(-5 * 20 + 3z * 20) = 5(15z + -8)
(-100 + 60z) = 5(15z + -8)

Reorder the terms:
-100 + 60z = 5(-8 + 15z)
-100 + 60z = (-8 * 5 + 15z * 5)
-100 + 60z = (-40 + 75z)

Solving
-100 + 60z = -40 + 75z

Solving for variable 'z'.

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

Add '-75z' to each side of the equation.
-100 + 60z + -75z = -40 + 75z + -75z

Combine like terms: 60z + -75z = -15z
-100 + -15z = -40 + 75z + -75z

Combine like terms: 75z + -75z = 0
-100 + -15z = -40 + 0
-100 + -15z = -40

Add '100' to each side of the equation.
-100 + 100 + -15z = -40 + 100

Combine like terms: -100 + 100 = 0
0 + -15z = -40 + 100
-15z = -40 + 100

Combine like terms: -40 + 100 = 60
-15z = 60

Divide each side by '-15'.
z = -4

Simplifying
z = -4

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