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After the expression above is simplified, what is the coefficient of x expressed as a decimal?

After the expression above is simplified, what is the coefficient of x expressed as-example-1
User Max Leske
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2 Answers

2 votes

Answer:

-0.8

Explanation:

The question asks for the expression to be simplified, so we can start with that. I will put fractions in parentheses for easier readability.

The first step is to distribute the (3/5) to the terms in the parentheses. (3/5) * 2x is (6/5)x, and (3/5) * 5 is 3. The expression we're then left with is (6/5)x + 3 - 2x.

I'm going to convert (6/5) here into a decimal, because it'll, in my opinion, make the later calculations easier, but you don't need to. (6/5) now becomes 1.2.

The second step is to combine like terms, meaning combining the two terms with "x". 1.2x - 2x is -0.8x, giving the final expression of -0.8x + 3.

This is as far as we can go with the simplification. Therefore, the final answer must be the coefficient of x, or the number x is being multiplied by. As it is already a decimal, there's no need to convert.

The coefficient of x here is -0.8, so that is the final answer.

Hope this helps! Let me know if you have any questions.

User Volodya Lombrozo
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8.1k points
4 votes

Answer:

-0.8

Explanation:

3/5 × (2x + 5) - 2x =

= 3/5 × 2x + 3/5 × 5 - 2x

= 1.2x + 3 - 2x

= -0.8x + 3

User Melvic Ybanez
by
8.2k points

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