Question

$\text{Find the value of}x.$
$5\times (x+7)=5\times 2+35$

• A. 2
• B. 3
• C. 4
• D. 1

Answer 1

The correct option is A 2

Let's find the missing number with the help of a distrubutive property.

The distributive property of multiplication states that when a number is multiplied with sum of two number, the number gets equally distributed to both the numbers inside the bracket.

$5\times (x+7)=5\times 2+35$
$LHS=RHS$

Step 1: Now, take LHS: $5\times (x+7)$

Step 2: Multiply 5 with the numbers inside the bracket
$5\times (x+7)=(5\times x)+(5\times 7)$
$=5\times x+\mathrm{35.....}\left(1\right)$

Step 3: Now,
Take RHS $=5\times 2+\mathrm{35....}\left(2\right)$
Compare (1) and (2)
$5\times \underset{–}{x}+35=5\times \underset{–}{2}+35$

$\therefore \text{The value of}x\text{is}2$