The equivalent equations to [tex]\frac{3}{5}(30x - 15) = 72[/tex] are given as follows:
Equivalent equations are equations that have the same solution.
First, we have to check the solution to [tex]\frac{3}{5}(30x - 15) = 72[/tex], hence:
[tex]\frac{3}{5}(30x - 15) = 72[/tex]
Applying the fraction:
18x - 9 = 72 -> first equivalent equation
Simplifying by 3:
3(6x - 3) = 72 -> second equivalent equation
The solution is:
18x - 9 = 72
18x = 81
x = 81/18
x = 4.5 -> third equivalent equation.
More can be learned about equivalent equations at https://brainly.com/question/2972832
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