Question

IF 7x-15=4x+9 the value of x is​

Answer 1

This is pretty simple..all u have to do is move terms across the “equal to” sign
=>3x=24
=>x=8

Answer 2

Answer :-

• The value of x is 8.

Step-by-step explanation :-

$\sf Q) \: 7x - 15 = 4x + 9$

Transposing 4x from RHS to LHS, changing it's sign,

$\sf \Rightarrow7x - 4x - 15 = 9$

On subtracting the variables,

$\sf\Rightarrow3x - 15 = 9$

Transposing 15 from LHS to RHS, changing it's sign,

$\sf \Rightarrow3x = 9 + 15$

Adding the numbers,

$\sf \Rightarrow3x = 24$

Transposing 3 from LHS to RHS, changing it's sign,

$\sf \Rightarrow x = \dfrac{24}{3}$

Dividing 24 by 3,

$\sf \Rightarrow x = 8.$

Therefore, the value of x = 8.

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Verification :-

To check our answer, let's put 8 in place of x and see whether LHS = RHS.

Let's proceed!

LHS

$\sf \Rightarrow7 \times 8 - 15$

Applying the BODMAS rule and multiplying the numbers first,

$\sf \Rightarrow56 - 15$

Subtracting the numbers,

$\sf \Rightarrow41.$

RHS

$\sf \Rightarrow4 \times 8 + 9$

Applying the BODMAS rule and multiplying the numbers first,

$\sf \Rightarrow32 + 9$

Adding the numbers,

$\sf \Rightarrow41$

Since LHS = RHS,

Hence verified!

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