Question

$\text{The solution of the equation}2(x+1)=4\text{is}$

• A. $x=10$
• B. $x=5$
• C. $x=3$
• D. $x=1$

Answer 1

The correct option is D $x=1$

Given, the equation is $2(x+1)=4.$

Step 1: Expand $2(x+1)$ by distributive property of multiplication.
$2(x+1)=2\times x+2\times 1=2x+2$
$\therefore 2x+2=4$

Step 2: Subtract both sides of the equation by 2 to eliminate 2 on the left side of the equation.
$\Rightarrow 2x+2-2=4-2\Rightarrow 2x=2$

Step 3: Now, divide both sides by 2 to eliminate 2 on the left side of the equation.
$\Rightarrow \frac{2x}{2}=\frac{2}{2}\Rightarrow \frac{2\times x}{2}=\frac{2\times 1}{2}\Rightarrow x=1$

Hence, solution of the equation $2(x+1)=4$ is $x=1.$