Question

When Richards solved the equation 2(x - 5) = 56 + 6(x - 5), he used the distributive property in step one to write an equivalent equation. What equation did Richard write?

Answer 1

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:

$(2*x) - (2*5) = 56 + (6*x) - (6*5)\\Simplifying\\2x-10 = 56+6x-30\\2x-6x = 56-30+10\\-4x = 36\\x=-9$

Keywords: Equations, Distributive property

Learn more about distributive property at:

• brainly.com/question/5639299
• brainly.com/question/2369634

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