2x – 1 = 14 – x ⇒ 2x+x=14+1 ⇒ 3x=15 ⇒ x =15/3=5 To check: 2x 1=14 x ⇒ 2 × 5 1=14 5 ⇒ 10 1=9 ⇒ 9=9 ⇒ L.H.S=R.H.S Hence, it is correct. ...

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Solving Equations with Variables on Both Sides

2x – 1 = 14 –...

Question

Question 5
2x – 1 = 14 – x

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Solution

2x – 1 = 14 – x
$\Rightarrow 2 x + x = 14 + 1$
$\Rightarrow 3 x = 15$
$\Rightarrow x = \frac{15}{3} = 5$
To check:
$2 x - 1 = 14 - x \Rightarrow 2 \times 5 - 1 = 14 - 5$
$\Rightarrow 10 - 1 = 9 \Rightarrow 9 = 9$
$\Rightarrow L . H . S = R . H . S$
Hence, it is correct.

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