The equivalent equation after applying distributive property will be:
(2*x) - (2*5) = 56 + (6*x) - (6*5)
Further explanation:
Distributive property states that the number is distributed to the sum or difference it is being multiplied to i.e.
a(b+c) = a*b + a*c
So the given equation is:
2(x - 5) = 56 + 6(x - 5)
2 will be distributed to x-5 and 6 will be distributed to x-5
The equivalent equation will be:
[tex](2*x) - (2*5) = 56 + (6*x) - (6*5)\\Simplifying\\2x-10 = 56+6x-30\\2x-6x = 56-30+10\\-4x = 36\\x=-9[/tex]
Keywords: Equations, Distributive property
Learn more about distributive property at:
#LearnwithBrainly
