Question
2(5x - 3) - 3(2x - 1) = 9
✓
Answer
We have
2(5x - 3) - 3(2x - 1) = 9
Expanding the brackets, we get
2 × 5x - 2 × 3 - 3 × 2x + 3 × 1 = 9
10x - 6 - 6x + 3 = 9
10x - 6x - 6 + 3 = 9
4x - 3 = 9
Adding 3 to both sides, we get
4x - 3 + 3 = 9 + 3
4x = 12
Dividing both sides by 4, we get
$\frac{4\text{x}}{4}=\frac{12}{4}$
Thus, x = 3.
Verification:
Substituting x = 3 in L.H.S., we get
= 2(5 × 3 - 3) - 3(2 × 3 - 1)
= 2 × 12 - 3 × 5
= 24 - 15
= 9
L.H.S. = R.H.S.
Hence, verified.
2(5x - 3) - 3(2x - 1) = 9
Expanding the brackets, we get
2 × 5x - 2 × 3 - 3 × 2x + 3 × 1 = 9
10x - 6 - 6x + 3 = 9
10x - 6x - 6 + 3 = 9
4x - 3 = 9
Adding 3 to both sides, we get
4x - 3 + 3 = 9 + 3
4x = 12
Dividing both sides by 4, we get
$\frac{4\text{x}}{4}=\frac{12}{4}$
Thus, x = 3.
Verification:
Substituting x = 3 in L.H.S., we get
= 2(5 × 3 - 3) - 3(2 × 3 - 1)
= 2 × 12 - 3 × 5
= 24 - 15
= 9
L.H.S. = R.H.S.
Hence, verified.
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