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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Question 14

Which of the following equations can be formed starting with x = 0?

(a) 2x + 1 = -1

(b) $\frac{x}{2} + 5 = 7$

(d) 3x - 1 = 1

2 (1 + 2 x) - 5 (4 - 2 x) = 14

x

2 x - 1 = 14 - x

x = 5

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