Solve and check result: \(x = \frac{4}{5}(x+10)\)
Solution and Explanation
\(x = \frac{4}{5}(x+10)\)
Multiplying both sides by \(5\), we obtain
\(5x = 4(x + 10)\)
\(5x = 4x + 40\)
Transposing \(4x\) to L.H.S, we obtain
\(5x - 4x = 40\)
\(x = 40\)
\(\Rightarrow\) L.H.S = \(x = 40\)
\(\Rightarrow\) R.H.S = \(\frac{4}{5}(x+10)\)
= \(\frac{4}{5}(40+10)\)
= \(\frac{4}{5}×50 = 40\)
L.H.S. = R.H.S.
Hence, the result obtained above is correct.
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