Question

find the value of x when 3x +6=18​

Answer 1

Answer :-

• The value of x is 4.

To find :-

• The value of x.

Step-by-step explanation :-

$Q) \: \sf3x + 6 = 18$

Transposing 6 from LHS to RHS, changing it's sign,

$\Rightarrow\sf3x = 18 - 6$

Subtracting 6 from 18,

$\Rightarrow\sf3x = 12$

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

$\Rightarrow\sf x = \dfrac{12}{3}$

Dividing 12 by 3,

$\Rightarrow \overline{\boxed{\sf x = 4}}$

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Verification :-

• To check our answer, let's put 4 in the place of x and check whether LHS = RHS.

LHS

$\longmapsto\rm 3x + 6$

Substituting the value of x,

$\longmapsto\rm 3 \times 4 + 6$

Applying the BODMAS rule and multiplying 3 with 4 first,

$\longmapsto\rm 12 + 6$

Adding 6 to 12,

$\longmapsto\rm 18$

RHS

$\longmapsto\rm 18$

LHS = RHS.

Hence verified!

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Know more :-

What is a constant?

• A symbol which has a fixed value is called a constant. For example, 9, -5 etc.

What is a variable?

• A symbol which does not have a fixed value is called a variable. Variables are also known as literals. For example, x, y, z etc.

Answer 2

☯ GIVEN :

• $\bf{3x +6 = 18}$

☯ TO FIND :

• The value of x.

➲SOLUTION :

$\implies \tt{3x + 6 = 18}$

• Subtracting 6 from both sides :

$\implies \tt{3x = 18 - 6}$

• After subtracting 6 from both sides:

$\implies \tt{3x = 12}$

• Dividing both sides by 3 :

$\implies \tt{x = \cancel{\dfrac{12}{3}}}$

• After dividing both sides by 3 :

$\implies \huge{ \underline{ \boxed{ \red{\bf{x = 4}}}}}$

$\huge {\pink{\therefore}}$ The value of x is 4.

✞VERIFICATION :

• Substituting the value of x :

$\implies \tt{3x + 6 = 18}$

$\implies \tt{3\times 4 + 6 = 18}$

$\implies \tt{12 + 6 = 18}$

$\implies \tt{18 = 18}$

$\implies \underline{\boxed{\red{\bf{LHS = RHS}}}}$

$\huge{\pink{\therefore}}$ Verified.