Question

2x/5 - 3/2 = x/2 +1 solve and verify

Answer 1

see it .
I hope this will be write

Answer 2

Answer: x = - 25

Step-by-step explanation:

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

Now

$\dfrac{2x}{5} -\dfrac{3}{2} =\dfrac{x}{2} +1\\\\\Rightarrow \dfrac{4x-15}{10} =\dfrac{x+2}{2} \\\\\Rightarrow 2(4x-15)=10(x+2)\\\\\Rightarrow 8x-30 = 10x+20\\\\\Rightarrow 8x-10x=20+30\\\\\Rightarrow -2x= 50 \\\\\Rightarrow x= -25$

Now for verification

L.H.S.

$\dfrac{2x}{5} -\dfrac{3}{2}\\\\\text {Put x= -25 } \\\\\dfrac{2\times(- 25)}{5} -\dfrac{3}{2}= -10-\dfrac{3}{2} =\dfrac{-23}{2}$

R.H.S.

$\dfrac{x}{2} +1\\\\\text {put x= -25}\\\\ \dfrac{-25}{2} +1= \dfrac{-25+2}{2} =\dfrac{-23}{2}$

L.H.S.= R.H.S.

Hence verified