Question

$$A5x+8x-5+=6x$$

Answer

A=(-(2*x)/5+1)/x

Solution


Regroup terms.
\[5Ax+8x-5+=6x\]
Simplify  \(5Ax+8x-5+\)  to  \(5Ax+8x-5\).
\[5Ax+8x-5=6x\]
Subtract \(8x\) from both sides.
\[5Ax-5=6x-8x\]
Simplify  \(6x-8x\)  to  \(-2x\).
\[5Ax-5=-2x\]
Factor out the common term \(5\).
\[5(Ax-1)=-2x\]
Divide both sides by \(5\).
\[Ax-1=-\frac{2x}{5}\]
Add \(1\) to both sides.
\[Ax=-\frac{2x}{5}+1\]
Divide both sides by \(x\).
\[A=\frac{-\frac{2x}{5}+1}{x}\]