Question

If $x=m+1$ and $1.5+\frac{3m+2}{5}=0.5(4x-3)$, then find $m$

• A. $2$
• B. $-1$
• C. $1$
• D. $-2$

Answer 1

The correct option is C $1$

Given, $1.5+\frac{3m+2}{5}=0.5(4x-3)$
$\Rightarrow 1.5+\frac{3m+2}{5}=0.5\left[4\right(m+1)-3]$
$\Rightarrow 1.5+\frac{3m+2}{5}=0.5(4m+4-3)$
$\Rightarrow 1.5+\frac{3m+2}{5}=2m+2-1.5$
$\Rightarrow 1.5+\frac{3m+2}{5}-2m-2+1.5$
$\Rightarrow \frac{7.5+3m+2-10m-10+7.5}{5}=0$
$\Rightarrow 7.5+7.5+2-10=10m-3m$
$\Rightarrow 7=7m$
$\Rightarrow m=1$

Thus, value of $m$ is $1$.