Question
Solve the following equation and verify the answer:
3(x + 2) - 2(x - 1) = 7
3(x + 2) - 2(x - 1) = 7
✓
Answer
3(x + 2) - 2(x - 1) = 7
⇒ 3x + 6 - 2x + 2 = 7
(Removing brackets)
3x - 2x + 6 + 2 = 7
x + 8 = 7
x = 7 - 8
(Transposing 8 to R.H.S.)
x = -1 is a solution of the given equation.
Check: Substituting x = -1 in the given equation, we get
L.H.S. = 3 ( -1 + 2) - 2( -1 - 1)
= 3 × 1 + ( -2 × - 2)
= 3 + 4 = 7 and
R.H.S. = 7
When x = -1, we have
L.H.S. = R.H.S.
⇒ 3x + 6 - 2x + 2 = 7
(Removing brackets)
3x - 2x + 6 + 2 = 7
x + 8 = 7
x = 7 - 8
(Transposing 8 to R.H.S.)
x = -1 is a solution of the given equation.
Check: Substituting x = -1 in the given equation, we get
L.H.S. = 3 ( -1 + 2) - 2( -1 - 1)
= 3 × 1 + ( -2 × - 2)
= 3 + 4 = 7 and
R.H.S. = 7
When x = -1, we have
L.H.S. = R.H.S.
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