Respuesta :

[tex]\\ \sf\longmapsto 32.3=14.8+8.4x[/tex]

[tex]\\ \sf\longmapsto 8.4x+14.8=32.3[/tex]

  • Isolate x

[tex]\\ \sf\longmapsto 8.4x=32.3-14.8[/tex]

[tex]\\ \sf\longmapsto 8.4x=17.5[/tex]

[tex]\\ \sf\longmapsto x\approx 2.1[/tex]

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

Find the value of x

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

[tex] \sf 32.3 = 14.8 + 8.4x[/tex]

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

[tex] \sf \longmapsto32.3 = 14.8 + 8.4x[/tex]

[tex] \bf \: Simplify \: both \: sides \: of \: the \: equation \: given : [/tex]

[tex] \sf \longmapsto \: 32.3 = 8.4x + 14.8[/tex]

[tex] \bf \: Overturn \: the \: equation : [/tex]

[tex] \sf \longmapsto8.4x+14.8=32.3[/tex]

[tex] \bf \: Subtract \: 14.8 \: from \: both \: sides : [/tex]

[tex]\sf \longmapsto8.4x+14.8 -\red{ 14.8}=32.3 -\red{ 14.8}[/tex]

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

[tex]\sf \longmapsto8.4x - 0 = 32.3 - 14.8[/tex]

[tex]\sf \longmapsto8.4x = 17.5[/tex]

[tex]\bf \: Divide \: both \: sides \: by \: 8.4[/tex]

[tex]\sf \longmapsto \dfrac{8.4x}{ \red{8.4}} = \dfrac{17.5}{ \red{8.4}} [/tex]

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

[tex]\sf \longmapsto \: x = 2.083333[/tex]

[tex]\bf Answer\: in \: mixed \: number : [/tex]

[tex]\sf \longmapsto \: x = 2.083333[/tex]

______________________________________

[tex] \bf \: Henceforth,The \: Answer \: is:[/tex]

[tex] \boxed{ \huge\tt \: x = 2.08 (approx)}[/tex]