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2x + 3 = 5 . Solve for x

Sagot :

Answer:

x = 1

Step-by-step explanation:

2x + 3 = 5

=> 2x = 5 - 3

=> 2x = 2

=> x = 2/2

=> x = 1

Answer:

[tex]\boxed{ \boxed{\huge\bf \; x = 1}}[/tex]

Step-by-step explanation:

[tex] \underline{\bf \: Given \: equation:-}[/tex]

[tex]2x + 3 = 5[/tex]

[tex]\underline{ \bf \: To \: Find :-}[/tex]

[tex]\rm Value\: of \: x [/tex]

[tex]\underline{ \bf \: Solution :-} [/tex]

[tex]\bf : \sf \longmapsto2x + 3 = 5[/tex]

[tex]\underline{\rm Subtract \: 3\: from\: both \; sides:}[/tex]

[tex]\bf : \sf \longmapsto2x + 3 - 3 = 5 - 3[/tex]

[tex]\underline{\rm On \: Simplification:}[/tex]

[tex]\bf : \sf \longmapsto2x + 0 = 2[/tex]

[tex]\bf : \sf \longmapsto2x = 0[/tex]

[tex]\underline{ \rm \: Divide \: both \: sides \: by \: 2 :} [/tex]

[tex]\bf : \sf \longmapsto \: \cfrac{2x}{2} = \cfrac{2}{ 2} [/tex]

[tex]\underline{\rm On \: Simplification:}[/tex]

[tex]\rm Cancel \: 2 \: and \: 2 \: of \: LHS \: and \: then \: Cancel \: 2 \: and \: 2 \: of \: RHS(Leave\: x \: of \: LHS)[/tex]

[tex] : \sf \longmapsto\cfrac{ \cancel2{x}}{\cancel2} = \cfrac{ \cancel2{}}{\cancel2}[/tex]

[tex] \underline{\rm \: On \: Cancelling,}[/tex]

[tex] : \sf \longmapsto1x = 1[/tex]

As [tex]\rm 1x = x [/tex]so,

[tex] : \sf \longmapsto \: x =\boxed{ 1}[/tex]

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