Question

Solve the following equation for $x$:
$\frac{2x+3}{5}-10=\frac{4-3x}{2}$.

• A. $3$
• B. $4$
• C. $5$
• D. $6$

Answer 1

The correct option is D $6$

Given, $\frac{2x+3}{5}-10=\frac{4-3x}{2}$

$\Rightarrow$$\frac{2x+3-50}{5}=\frac{4-3x}{2}$ …[Cross-multiplying the denominators on the LHS]

$\Rightarrow \frac{2x-47}{5}=\frac{4-3x}{2}$

$\Rightarrow 2(2x-47)=5(4-3x)$ …[Cross-multiplying the denominators]

$\Rightarrow 4x-94=20-15x$.

Transposing $x$ terms to one side, we get,

$\Rightarrow 4x+15x=20+94$

$\Rightarrow 19x=114$

$\Rightarrow x=6$.

Hence, option $D$ is correct.