3(x + 2) - 2(x - 1) = 7 - Vidyadip

Question

3(x + 2) - 2(x - 1) = 7

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Answer

3(x + 2) - 2(x - 1) = 7
On expanding the brackets, we get
3x + 3 × 2 - 2 × x + 2 × 1 = 7
3x + 6 - 2x + 2 = 7
3x - 2x + 6 + 2 = 7
x + 8 = 7
Subtracting 8 from both sides, we get
x + 8 - 8 = 7 - 8
x = -1
Verification:
Substituting x = -1 in L.H.S., we get
L.H.S. = 3(x + 2) - 2(x - 1) = 3(-1 + 2) - 2(-1 -1) = (3 × 1) - (2 × -2) = 3 + 4 = 7, and R.H.S. = 7
L.H.S. = R.H.S.
Hence, verified.

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