Question

2x + 3 = 5 . Solve for x

Answer 1

`\boxed{ \boxed{\huge\bf \; x = 1}}`

Explanation:

`\underline{\bf \: Given \: equation:-}`

`2x + 3 = 5`

`\underline{ \bf \: To \: Find :-}`

`\rm Value\: of \: x`

`\underline{ \bf \: Solution :-}`

`\bf : \sf \longmapsto2x + 3 = 5`

`\underline{\rm Subtract \: 3\: from\: both \; sides:}`

`\bf : \sf \longmapsto2x + 3 - 3 = 5 - 3`

`\underline{\rm On \: Simplification:}`

`\bf : \sf \longmapsto2x + 0 = 2`

`\bf : \sf \longmapsto2x = 0`

`\underline{ \rm \: Divide \: both \: sides \: by \: 2 :}`

`\bf : \sf \longmapsto \: \cfrac{2x}{2} = \cfrac{2}{ 2}`

`\underline{\rm On \: Simplification:}`

`\rm Cancel \: 2 \: and \: 2 \: of \: LHS \: and \: then \: Cancel \: 2 \: and \: 2 \: of \: RHS(Leave\: x \: of \: LHS)`

`: \sf \longmapsto\cfrac{ \cancel2{x}}{\cancel2} = \cfrac{ \cancel2{}}{\cancel2}`

`\underline{\rm \: On \: Cancelling,}`

`: \sf \longmapsto1x = 1`

As
`\rm 1x = x`so,

`: \sf \longmapsto \: x =\boxed{ 1}`

________________________________

I hope this helps!

Please let me know if you have any questions.I am joyous to help!

:)

Answer 2

x = 1

Explanation:

2x + 3 = 5

=> 2x = 5 - 3

=> 2x = 2

=> x = 2/2

=> x = 1