Question
$5(x - 2) +3(x + 1) = 25$
✓
Answer
$5(x - 2) + 3(x + 1) = 25$
On expanding the brackets, we get
$(5 × x) - (5 × 2) + 3 × x + 3 × 1 = 25$
$5x - 10 + 3x + 3 = 25$
$5x + 3x - 10 + 3 = 25$
$8x - 7 = 25$
Adding $7$ to both sides, we get
$8x - 7 + 7 = 25 + 7$
$8x = 32$
Dividing both sides by $8$, we get
$\frac{8\text{x}}{8}=\frac{32}{8}$
$\text{x}=4$
Verification:
Substituting $x = 4$ in $L.H.S$., we get
$= 5(4 - 2) + 3(4 + 1) = 5(2) + 3(5) = 10 + 15 = 25 = R.H.S.$
$L.H.S. = R.H.S.$
Hence, verified.
On expanding the brackets, we get
$(5 × x) - (5 × 2) + 3 × x + 3 × 1 = 25$
$5x - 10 + 3x + 3 = 25$
$5x + 3x - 10 + 3 = 25$
$8x - 7 = 25$
Adding $7$ to both sides, we get
$8x - 7 + 7 = 25 + 7$
$8x = 32$
Dividing both sides by $8$, we get
$\frac{8\text{x}}{8}=\frac{32}{8}$
$\text{x}=4$
Verification:
Substituting $x = 4$ in $L.H.S$., we get
$= 5(4 - 2) + 3(4 + 1) = 5(2) + 3(5) = 10 + 15 = 25 = R.H.S.$
$L.H.S. = R.H.S.$
Hence, verified.
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