Question
Solve the following equation and verify the answer: $3(x + 2) - 2(x - 1) = 7$
✓
Answer
$3(x + 2) - 2(x - 1) = 7$
$\Rightarrow 3x + 6 - 2x + 2 = 7$ (Removing brackets)
$3x - 2x + 6 + 2$
$= 7 x + 8$
$= 7 x = 7 - 8$ (Transposing $8$ to $R.H.S.) x = -1$ is a solution of the given equation.
Check: Substituting $x = -1$ in the given equation,
we get $L.H.S. = 3 ( -1 + 2) - 2( -1 - 1)$
$= 3 \times 1 + ( -2 \times - 2)$
$= 3 + 4 = 7$ and $R.H.S. = 7$
When $x = -1$,
we have $L.H.S. = R.H.S.$
$\Rightarrow 3x + 6 - 2x + 2 = 7$ (Removing brackets)
$3x - 2x + 6 + 2$
$= 7 x + 8$
$= 7 x = 7 - 8$ (Transposing $8$ to $R.H.S.) x = -1$ is a solution of the given equation.
Check: Substituting $x = -1$ in the given equation,
we get $L.H.S. = 3 ( -1 + 2) - 2( -1 - 1)$
$= 3 \times 1 + ( -2 \times - 2)$
$= 3 + 4 = 7$ and $R.H.S. = 7$
When $x = -1$,
we have $L.H.S. = R.H.S.$
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