Question
Solve the equations and check your result: $2x - 1 = 14 - x.$
✓
Answer
$2x – 1 = 14 – x$
$2x + x = 14 + 1 ... [$Transposing $–x$ to $L.H.S.$ and $–1$ to $R.H.S.]$
$\therefore 3x = 15$
$\therefore x = \frac{{15}}{3} ... [$Dividing both sides by $3]$
$\therefore x = 5$ this is the required solution.
Verification
$L.H.S. = 2x – 1 = 2(5) – 1 = 10 – 1 = 9$
$R.H.S. = 14 – x = 14 – 5 = 9$
Therefore, $L.H.S. = R.H.S.$
$2x + x = 14 + 1 ... [$Transposing $–x$ to $L.H.S.$ and $–1$ to $R.H.S.]$
$\therefore 3x = 15$
$\therefore x = \frac{{15}}{3} ... [$Dividing both sides by $3]$
$\therefore x = 5$ this is the required solution.
Verification
$L.H.S. = 2x – 1 = 2(5) – 1 = 10 – 1 = 9$
$R.H.S. = 14 – x = 14 – 5 = 9$
Therefore, $L.H.S. = R.H.S.$
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