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Rearrange the formula L/E = 2a/(R-x) to make R the subject.

April 16, 2026Mathematics

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Answer

R = \frac{2aE}{L} + x

4 steps

Write the given equation.
The equation is:
$\frac{L}{E} = \frac{2a}{R-x}$
Multiply both sides by $(R-x)$ to remove it from the denominator.
$(R-x) \cdot \frac{L}{E} = 2a$
Divide both sides by $\frac{L}{E}$ (or multiply by $\frac{E}{L}$ ) to isolate $(R-x)$ .
$R-x = 2a \cdot \frac{E}{L}$ $R-x = \frac{2aE}{L}$
Add $x$ to both sides to make $R$ the subject.
$R = \frac{2aE}{L} + x$

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