Question

5x + 3(x – 5) = 6x + 2x – 15 Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points) Part B: Name one property you used to solve this equation. (4 points)

Answer 1

Answer:

5x + 3(x - 5) = 6x + 2x - 15

5x + 3x - 15 = 8x - 15

8x - 8x = -15 + 15

0 = 0

Since, both sides are equal, this equation is true for all x.

Part B:

One property used is distributive property.  

The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

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Step-by-step explanation: