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Solve.

32.3 = 14.8 + 8.4x

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

2 Answers

5 votes


\\ \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

User JMWhittaker
by
8.1k points
2 votes


\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)}

User Robinst
by
7.9k points

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