Question

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

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is A 1

$1.5+\frac{3m+2}{5}=0.5(4x-3)$
$\frac{7.5+3m+2}{5}=0.5(4x-3)$
$7.5+3m+2=2.5(4x-3)$
$7.5+3m+2=10x-7.5$
As it is given in question x=m+1
$7.5+3m+2=10(m+1)-7.5$
$7.5+3m+2=10m+10-7.5$
$9.5+3m=10m+2.5$
$7m=7$
$m=1$