5(x - 2) +3(x + 1) = 25 - Vidyadip

Question

5(x - 2) +3(x + 1) = 25

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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.

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