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Question
Solve the following equation and check your result:
`x = 4/5 (x + 10)`
Solution
`x = 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
L.H.S = x = 40
R.H.S = `4/5 (x + 10`)
= `4/5 (40 + 10)`
=`4/5 xx 50`
= 40
L.H.S. = R.H.S.
Hence, the result obtained above is correct.
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