Question

question
solve for x:
6x - 5 = 4x - 23

Explanation:

Step1: Subtract \(4x\) from both sides

To get the \(x\)-terms on one side, we subtract \(4x\) from each side of the equation \(6x - 5 = 4x - 23\). This gives us \((6x - 4x)-5=(4x - 4x)-23\), which simplifies to \(2x - 5=-23\).

Step2: Add 5 to both sides

Next, we want to isolate the term with \(x\), so we add 5 to both sides of the equation \(2x - 5=-23\). This results in \(2x-5 + 5=-23 + 5\), which simplifies to \(2x=-18\).

Step3: Divide by 2

Finally, we divide both sides of the equation \(2x=-18\) by 2 to solve for \(x\). So, \(\frac{2x}{2}=\frac{-18}{2}\), which gives \(x = - 9\).

Answer:

\(x=-9\)