Question

Solve.

32.3 = 14.8 + 8.4x

Enter your answer as a mixed number in simplest form in the box

Answer 1

`\\ \sf\longmapsto 32.3=14.8+8.4x`

`\\ \sf\longmapsto 8.4x+14.8=32.3`

• Isolate x

`\\ \sf\longmapsto 8.4x=32.3-14.8`

`\\ \sf\longmapsto 8.4x=17.5`

`\\ \sf\longmapsto x\approx 2.1`

Answer 2

`\bf \huge \: Question:`

Find the value of x

`\huge\bf \: Equation \: provided:`

`\sf 32.3 = 14.8 + 8.4x`

`\bf \huge \: Solution:`

`\sf \longmapsto32.3 = 14.8 + 8.4x`

`\bf \: Simplify \: both \: sides \: of \: the \: equation \: given :`

`\sf \longmapsto \: 32.3 = 8.4x + 14.8`

`\bf \: Overturn \: the \: equation :`

`\sf \longmapsto8.4x+14.8=32.3`

`\bf \: Subtract \: 14.8 \: from \: both \: sides :`

`\sf \longmapsto8.4x+14.8 -\red{ 14.8}=32.3 -\red{ 14.8}`

`\bf \: On\: Simplification:`

`\sf \longmapsto8.4x - 0 = 32.3 - 14.8`

`\sf \longmapsto8.4x = 17.5`

`\bf \: Divide \: both \: sides \: by \: 8.4`

`\sf \longmapsto \frac{8.4x}{ \red{8.4}} = \frac{17.5}{ \red{8.4}}`

`\bf \: On\: Simplification:`

`\sf \longmapsto \: x = 2.083333`

`\bf Answer\: in \: mixed \: number :`

`\sf \longmapsto \: x = 2.083333`

______________________________________

`\bf \: Henceforth,The \: Answer \: is:`

`\boxed{ \huge\tt \: x = 2.08 (approx)}`