Question

Solve the two-step equation below:
$3x+5=23$

• A. $x=6$
• B. $x=3$
• C. $x=5$
• D. $x=9$

Answer 1

The correct option is A $x=6$

In the equation $3x+5=23,$ the variable $x$ is being multiplied with 3 and then 5 is being added. We need to solve $x$ by isolating it on one side of the equation.

Step 1: Subtract both sides of the equation by 5 to eliminate 5 on the left side of the equation.
$\Rightarrow 3x+5-5=23-5\Rightarrow 3x=18$

Step 2: Now, divide both sides by 3 to eliminate 3 on the left side of the equation.
$\Rightarrow \frac{3x}{3}=\frac{18}{3}\Rightarrow \frac{3\times x}{3}=\frac{3\times 6}{3}\Rightarrow x=6$

Hence, solution of the equation $3x+5=23$ is $6.$