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Question
Solve the following equation and check your result:
8x + 4 = 3(x − 1) + 7
Solution
8x + 4 = 3(x − 1) + 7
8x + 4 = 3x − 3 + 7
Transposing 3x to L.H.S and 4 to R.H.S, we obtain
8x − 3x = − 3 + 7 − 4
5x = − 7 + 7
x = 0
L.H.S = 8x + 4
= 8 × (0) + 4
= 4
R.H.S = 3(x − 1) + 7
= 3 (0 − 1) + 7
= − 3 + 7
= 4
L.H.S. = R.H.S.
Hence, the result obtained above is correct.
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