Question

Find the value of $x$ in $\frac{3x-1}{5}-\frac{1+x}{2}=3-\frac{x-1}{2}?$

Answer 1

Given, $\frac{3x-1}{5}-\frac{1+x}{2}=3-\frac{x-1}{2}$

$\frac{3x-1}{5}-3=\frac{x+1}{2}-\frac{x-1}{2}$

$\frac{3x-1-15}{5}=\frac{x+1-x+1}{2}$

$\frac{3x-16}{5}=\frac{2}{2}=1$

$3x-16=5$

$3x=5+16$

$3x=21$

$x=7$