+118651 (x+5)/2+(x-1)/2=(x-1)/3
\(\begin{align*} \frac{(x+5)}{2}+\frac{(x-1)}{2}&=\frac{(x-1)}{3}\qquad \\ \frac{x+5+x-1}{2}&=\frac{(x-1)}{3}\qquad\\ \frac{2x+4}{2}&=\frac{(x-1)}{3}\qquad \text{Lowest common denominator is 6}\\ 6\times \frac{2x+4}{2}&=6\times \frac{x-1}{3}\\ 3(2x+4)&=2(x-1)\\ 3*2(x+2)&=2(x-1)\\ 3(x+2)&=x-1\\ 3x+6&=x-1\\ 2x&=-7\\ x&=-3.5 \end{align*}\)
check
LHS=-1.5
RHS= (-3.5-1)/3 = -1.5 Good it is correct :)
