Question
6(1 - 4x) + 7(2 + 5x) = 53
✓
Answer
6(1 - 4x) + 7(2 + 5x) = 53
On expanding the brackets, we get (6 × 1) - (6 × 4x) + (7 × 2) + (7 × 5x) = 53
6 - 24x + 14 + 35x = 53
6 + 14 + 35x - 24x = 53
20 + 11x = 53
Subtracting 20 from both sides, we get 20 + 11x - 20 = 53 - 20
11x = 33
Dividing both sides by 11, we get
$\frac{\text{11x}}{11}=\frac{33}{11}$
$\text{x}=3$
Verification:
Substituting x = 3 in L.H.S., we get
= 6(1 - 4 × 3) + 7(2 + 5 × 3)
= 6(1 - 12) + 7(2 + 15)
= 6(-11) + 7(17)
= -66 + 119
= 53 = R.H.S.
L.H.S. = R.H.S.
Hence, verified.
On expanding the brackets, we get (6 × 1) - (6 × 4x) + (7 × 2) + (7 × 5x) = 53
6 - 24x + 14 + 35x = 53
6 + 14 + 35x - 24x = 53
20 + 11x = 53
Subtracting 20 from both sides, we get 20 + 11x - 20 = 53 - 20
11x = 33
Dividing both sides by 11, we get
$\frac{\text{11x}}{11}=\frac{33}{11}$
$\text{x}=3$
Verification:
Substituting x = 3 in L.H.S., we get
= 6(1 - 4 × 3) + 7(2 + 5 × 3)
= 6(1 - 12) + 7(2 + 15)
= 6(-11) + 7(17)
= -66 + 119
= 53 = R.H.S.
L.H.S. = R.H.S.
Hence, verified.
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