Question

15 (x - 1) + 4 (x + 3) = 2 (7 + x)​

Answer 1

Answer:

15x-15+4x+12 = 14 + 2x

19x+3 = 14 +2x

19x-2x = 14-3

17x = 11

x = 11/17 ans.

Answer 2

❒ Question :

$\tt15 (x - 1) \: + \: 4 (x + 3) \: = \: 2 (7 + x)$

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❒ Solution :

By transposing method,

$\displaystyle \tt\implies 15 (x - 1) \: + \: 4 (x + 3) \: = \: 2 (7 + x)$

$\displaystyle \tt\implies 15x - 15 \: + \: 4x + 12 \: = \: 14 + 2x$

$\displaystyle \tt\implies 15x + 4x \: - 15 + 12\: = \: 14 + 2x$

$\displaystyle \tt\implies 19x \: -3\: = \: 14 + 2x$

$\displaystyle \tt\implies 19x - 2x \: = \: 14 + 3$

$\displaystyle \tt\implies 17x\: = \: 17$

$\displaystyle \tt\implies x\: = \cancel{\frac{17}{17} } \: 1$

$\displaystyle \tt\implies \underline{\boxed{ \tt \red{\large x\: = 1}}}$

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❒ Verification :

x = 1

So,

Substitute 1 in the place of x

$\displaystyle \tt\implies 15 ((1) - 1) \: + \: 4 ((1) + 3) \: = \: 2 (7 + (1))$

$\displaystyle \tt\implies 15 - 15 \: + \: 4 + 12 \: = \: 14 + 2$

$\displaystyle \tt\implies 16= \: 16$

∴ LHS = RHS

Hence verified !!

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