Question

x+(x+1)+(x+2)+(x+3)=178

Answer 1

Answer:

x=43

Step-by-step explanation:

add x and then it will came

Answer 2

Answer :-

• The value of x is 43.

Step-by-step explanation :-

$\sf Q) \: x + (x + 1) + (x + 2) + (x + 3) = 178$

Removing the brackets,

$\sf \Rightarrow x + x + 1 + x + 2 + x +3 =178$

Adding all the variables,

$\sf\Rightarrow4x + 6 = 178$

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

$\sf\Rightarrow4x = 178 - 6$

On subtracting the numbers,

$\sf\Rightarrow4x = 172$

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

$\sf \Rightarrow x = \dfrac{172}{4}$

Dividing 172 by 4,

$\sf \Rightarrow x = 43.$

So, the value of x = 43.

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Verification :-

To check our answer, let's put 43 in place of x and see whether LHS = RHS.

LHS

$\sf\Rightarrow43 + (43 + 1) + (43 + 2) + (43 + 3)$

On simplifying and removing the brackets,

$\sf\Rightarrow43 + 44 + 45 + 46$

Adding all the numbers,

$\sf\Rightarrow178.$

RHS

$\sf\Rightarrow178.$

Since LHS = RHS,

Hence verified!