Question

How to solve the equation 0.25(5p-3) =0.75(3p-2)

Answer 1

$$\begin{gathered} 0.25\left(5\mathrm{p}-3\right)=0.75\left(3\mathrm{p}-2\right) \\ \Rightarrow 1.25\mathrm{p}-0.75=2.25\mathrm{p}-1.50 \\ \Rightarrow 2.25\mathrm{p}-1.25\mathrm{p}=-0.75+1.50 \\ \Rightarrow 1.00\mathrm{p}=0.75 \\ \Rightarrow \mathbf{p}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{75} \end{gathered}$$