The equivalent expression to the given expression is [tex]\mathbf{=-(\dfrac{7}{4}x+5)}[/tex]
Algebraic expressions are mathematical expressions. They usually consist of one or more variables with their coefficients and arithmetic operators such as: (division, multiplication, addition, and subtraction).
From the given expression, we are to determine an expression that is equivalent to:
[tex]=\dfrac{1}{2}x + (-7) -2 \dfrac{1}{4}x -(-2)[/tex]
To do this, we are going to simplify the above-given expression to its lowest term since we are not given any options to choose equivalent expressions from.
By doing so, we have:
[tex]=\dfrac{1}{2}x -7 -\dfrac{9}{4}x +2[/tex]
[tex]=\dfrac{1}{2}x -\dfrac{9}{4}x +2 -7[/tex]
[tex]=\dfrac{1}{2}x -\dfrac{9}{4}x -5[/tex]
[tex]=-\dfrac{7}{4}x-5[/tex]
[tex]\mathbf{=-(\dfrac{7}{4}x+5)}[/tex]
Learn more about solving algebraic expressions here:
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