Question

Find the value of x.
$3\times (1+2)=3\times x+6$

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is A 1

Let's find x with the help of a distributive property.

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

$3\times (1+2)=3\times x+6$
$LHS=RHS$

Step 1: Now, take LHS: $3\times (1+2)$

Step 2: Multiply 3 with the numbers inside the bracket
$3\times (1+2)=(3\times 1)+(3\times 2)$
$=3\times 1+\mathrm{6...}\left(1\right)$

Step 3: Now,
Take RHS $=3\times x+\mathrm{6...}\left(2\right)$
Compare (1) and (2)
$3\times \underset{–}{x}+6=3\times \underset{–}{1}+6$

$\therefore \text{The value of}x\text{is}1$