Question

$$5x-4=3x-12Elvalordexes$$

Answer

$$v=(-(5*x-4)/(12*x)+1/4)/(El*e^2*a*l*o*r*d*s)$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[5x-4=3x-12Elvalord{e}^{2}xs\]
Regroup terms.
\[5x-4=3x-12El{e}^{2}valordxs\]
Factor out the common term \(3x\).
\[5x-4=3x(1-4El{e}^{2}valords)\]
Divide both sides by \(3\).
\[\frac{5x-4}{3}=x(1-4El{e}^{2}valords)\]
Divide both sides by \(x\).
\[\frac{\frac{5x-4}{3}}{x}=1-4El{e}^{2}valords\]
Simplify  \(\frac{\frac{5x-4}{3}}{x}\)  to  \(\frac{5x-4}{3x}\).
\[\frac{5x-4}{3x}=1-4El{e}^{2}valords\]
Subtract \(1\) from both sides.
\[\frac{5x-4}{3x}-1=-4El{e}^{2}valords\]
Divide both sides by \(-4\).
\[-\frac{\frac{5x-4}{3x}-1}{4}=El{e}^{2}valords\]
Simplify  \(\frac{\frac{5x-4}{3x}-1}{4}\)  to  \(\frac{\frac{5x-4}{3x}}{4}-\frac{1}{4}\).
\[-(\frac{\frac{5x-4}{3x}}{4}-\frac{1}{4})=El{e}^{2}valords\]
Simplify  \(\frac{\frac{5x-4}{3x}}{4}\)  to  \(\frac{5x-4}{3\times 4x}\).
\[-(\frac{5x-4}{3\times 4x}-\frac{1}{4})=El{e}^{2}valords\]
Simplify  \(3\times 4x\)  to  \(12x\).
\[-(\frac{5x-4}{12x}-\frac{1}{4})=El{e}^{2}valords\]
Remove parentheses.
\[-\frac{5x-4}{12x}+\frac{1}{4}=El{e}^{2}valords\]
Divide both sides by \(El\).
\[\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El}={e}^{2}valords\]
Divide both sides by \({e}^{2}\).
\[\frac{\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El}}{{e}^{2}}=valords\]
Simplify  \(\frac{\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El}}{{e}^{2}}\)  to  \(\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}}\).
\[\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}}=valords\]
Divide both sides by \(a\).
\[\frac{\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}}}{a}=vlords\]
Simplify  \(\frac{\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}}}{a}\)  to  \(\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}a}\).
\[\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}a}=vlords\]
Divide both sides by \(l\).
\[\frac{\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}a}}{l}=vords\]
Simplify  \(\frac{\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}a}}{l}\)  to  \(\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}al}\).
\[\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}al}=vords\]
Divide both sides by \(o\).
\[\frac{\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}al}}{o}=vrds\]
Simplify  \(\frac{\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}al}}{o}\)  to  \(\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}alo}\).
\[\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}alo}=vrds\]
Divide both sides by \(r\).
\[\frac{\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}alo}}{r}=vds\]
Simplify  \(\frac{\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}alo}}{r}\)  to  \(\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}alor}\).
\[\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}alor}=vds\]
Divide both sides by \(d\).
\[\frac{\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}alor}}{d}=vs\]
Simplify  \(\frac{\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}alor}}{d}\)  to  \(\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}alord}\).
\[\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}alord}=vs\]
Divide both sides by \(s\).
\[\frac{\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}alord}}{s}=v\]
Simplify  \(\frac{\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}alord}}{s}\)  to  \(\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}alords}\).
\[\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}alords}=v\]
Switch sides.
\[v=\frac{-\frac{5x-4}{12x}+\frac{1}{4}}{El{e}^{2}alords}\]