Question

Solve the equation below:
$4x-3=2x+3$

• A. $x=1$
• B. $x=3$
• C. $x=2$
• D. $x=5$

Answer 1

The correct option is B $x=3$

Given, $4x-3=2x+3$

Step 1: Add 3 to both sides of the equation to eliminate 3 on the left side of the equation.
$\Rightarrow 4x-3+3=2x+3+3\Rightarrow 4x=2x+6$

Step 2: Subtract both sides of the equation by $2x$ to eliminate $2x$ on the right side of the equation.
$\Rightarrow 4x-2x=2x+6-2x$
$\Rightarrow 2x=6$

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

Hence, solution of the equation $4x-3=2x+3$ is $x=3.$