Respuesta :

Answer:

x = -12

Step-by-step explanation:

x/2 + 5 = -1

x + 10/2 = -1

x + 10 = 2 × (-1)

x + 10 = -2

x = -2 - 10

x = -12

[tex] \bf \huge \: Question:[/tex]

Find the value of x

[tex] \bf \huge \: Equation \: Given:[/tex]

[tex] \sf \longmapsto \: x/2 + 5 = -1 [/tex]

[tex] \bf \huge Solution:[/tex]

[tex] \sf \longmapsto \dfrac{x}{2} + 5 = - 1[/tex]

[tex] \bf \: Simplify \: both \: s ides \: of \: the \: equation : [/tex]

Note that [tex] x [/tex]= 1[tex] x [/tex]

[tex] \sf \longmapsto \: \dfrac{1}{2} x + 5 = - 1[/tex]

[tex] \bf \: Subtract \: 5 \: from \: both \: sides : [/tex]

[tex] \sf \longmapsto \: \dfrac{1}{2} x + 5 - 5 = - 1 - 5[/tex]

[tex] \bf \: O n\: Simplification:[/tex]

[tex] \sf \longmapsto \: \dfrac{1}{2}x + 0= - 1 - 5[/tex]

[tex] \sf \longmapsto \dfrac{ 1}{2} x = - 1 - 5[/tex]

[tex] \sf \longmapsto \: \dfrac{1}{2} x = - 6[/tex]

[tex] \bf \: Multiply \: both \: sides \: by \: 2 :[/tex]

[tex] \sf \longmapsto \: 2 \times \bigg( \dfrac{1}{2} x\bigg) =2 \times( - 6)[/tex]

[tex]\bf On\: Simplification: [/tex]

[tex] \sf \longmapsto \: \cancel{2 }\times \dfrac{1}{\cancel{2}} x =2 \times( - 6)[/tex]

[tex] \sf \longmapsto1x = 2( - 6)[/tex]

[tex] \sf \longmapsto \: x = - 12[/tex]

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[tex] \bf \: Henceforth, The \: value \: of \: x \: is : [/tex]

[tex]\boxed{ \tt \: x = - 12}[/tex]

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