Question

Solve the linear equation..​

Answer 1

Answer:

3

Step-by-step explanation:

9 - 2(x - 5) = x + 10

9 - 2x + 10 = x + 10

19 - 2x = x + 10

transpose 2x from LHS to RHS and 10 from RHS to LHS

19 - 10 = x + 2x

9 = 3x

9/3 = x

3 = x

therefore the value of x is 3

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Answer 2

Answer :-

The required number is [ x = 3 ].

Step-by-step explanation :-

$\sf{ \mapsto \: \sf{9 - 2(x - 5) = x + 10}} \\ \\ \\ \sf{ \mapsto \: \sf{9 - (2)(x) + (- 5)( - 2) = x + 10}} \\ \\ \\ \sf{ \mapsto \: \sf{9 - 2x + ( - 5)( - 2) = x + 10}} \\ \\ \\ \sf{ \mapsto \: \sf{9 - 2x + 10 = x + 10}} \\ \\ \\ \sf{ \mapsto \: \sf{9 + 10 - 2x = x + 10}} \\ \\ \\ \sf{ \mapsto \: \sf{19 - 2x = x + 10}} \\ \\ \\ \sf{ \mapsto \: \sf{- 2x = x + 10 - 19}} \\ \\ \\ \sf{ \mapsto \: \sf{- 2x = x - 9}} \\ \\ \\ \sf{ \mapsto \: -2x - x = - 9} \\ \\ \\ \sf{ \mapsto \: \sf{- 3x= - 9}} \\ \\ \\ \sf{ \mapsto \: \sf{x = \dfrac{ - 9}{ - 3}}} \\ \\ \\ \sf{ \mapsto \: \sf{x = \cancel{ \dfrac{ - 9}{ - 3}}}} \\ \\ \\ \sf{ \mapsto \: \bf{ \pink{x = 3}}} \: \: \: \: \: \: \: \bigstar$

Now, Verification

$\sf{ \mapsto \: \sf{9 - 2(3 - 5) = 3 + 10}} \\ \\ \\ \sf{ \mapsto \: \sf{9 - (2)(3) + ( - 5)( - 2) = 3 + 10}} \\ \\ \\ \sf{ \mapsto \: \sf{9 - 2 \times 3 + ( - 5)( - 2) = 3+ 10}} \\ \\ \\ \sf{ \mapsto \: \sf{9 - 6 + 10 = 3 + 10}} \\ \\ \\ \sf{ \mapsto \: \sf{9 + 10 - 6 = 3+ 10}} \\ \\ \\ \sf{ \mapsto \: \sf{19 - 6= 3 + 10}} \\ \\ \\ \sf{ \mapsto \: 13 = 13}$

L.H.S = R.H.S

HENCE, VERIFIED !!!