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The right answer is Option A:[tex]x=\frac{rs-t}{2}[/tex]
Step-by-step explanation:
Given expression is;
[tex]s=\frac{2x+t}{r}[/tex]
We will solve this expression for x, therefore,
Multiplying both sides by r
[tex]r*s=\frac{2x+t}{r}*r\\rs=2x+t[/tex]
Subtracting t from both sides
[tex]rs-t=2x+t-t\\rs-t=2x\\2x=rs-t[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{rs-t}{2}\\x=\frac{rs-t}{2}[/tex]
The right answer is Option A:[tex]x=\frac{rs-t}{2}[/tex]
Keywords: subtraction, division
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