Solve liner equation : 0.12x+ (0.5+x/2)= x/3 +1.5

Dear Student,

Please find below the solution to the asked query :

$$\begin{gathered} 0.12\mathrm{x} + \left(0.5 + \frac{\mathrm{x}}{2}\right) = \frac{\mathrm{x}}{3} + 1.5 \\ \Rightarrow 0.12\mathrm{x} + 0.5 + \frac{\mathrm{x}}{2} = \frac{\mathrm{x}}{3} + 1.5 \\ \Rightarrow 0.12\mathrm{x} + \frac{\mathrm{x}}{2} - \frac{\mathrm{x}}{3} = 1.5 - 0.5 \\ \Rightarrow \frac{0.72\mathrm{x}+3\mathrm{x}-2\mathrm{x}}{6} = 1 \\ \Rightarrow 1.72\mathrm{x} = 6 \\ \Rightarrow \mathrm{x} = \frac{6}{1.72} = \frac{600}{172} = \frac{300}{86} = \frac{150}{43} \end{gathered}$$

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