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]