Question

What is the value of variable in 7x = 2x + 5 *​

Answer 1

Answer :-

$Q) \: \sf7x = 2x + 5$

Transposing 2x from RHS to LHS, changing it's sign,

$\hookrightarrow\sf7x - 2x = 5$

Subtracting 2x from 7x,

$\hookrightarrow\sf5x = 5$

Transposing 5 from LHS to RHS, changing it's sign,

$\hookrightarrow\sf x = \dfrac{5}{5}$

Dividing 5 by 5,

$\hookrightarrow\sf x = 1$

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V E R I F I C A T I O N

• To check our answer, let's put 1 in the place of x and check whether LHS = RHS.

LHS

$\leadsto\rm 7x$

Substituting the value of x,

$\leadsto\rm 7 \times 1$

Multiplying 7 with 1,

$\leadsto\rm 7$

RHS

$\leadsto\rm 2x + 5$

Substituting the value of x,

$\leadsto\rm 2 \times 1 + 5$

Applying the BODMAS rule and multiplying 2 with 1 first,

$\leadsto\rm 2 + 5$

Adding 5 to 2,

$\leadsto\rm 7$

Since LHS = RHS,

Hence verified!

Answer 2

Answer:

1

Step-by-step explanation:

7x=2x+5

5=7x-2x

5=5x

x=5/5

x=1