Question

solving equations solve for x. use the sketchpad to show your work. 23x - 12 = 6x + 5 x = submit

Explanation:

Step1: Subtract 6x from both sides

To isolate the variable terms on one side, we subtract \(6x\) from both sides of the equation \(23x - 12 = 6x + 5\). This gives us \(23x - 6x - 12 = 6x - 6x + 5\), which simplifies to \(17x - 12 = 5\).

Step2: Add 12 to both sides

Next, we add 12 to both sides to isolate the term with \(x\). So, \(17x - 12 + 12 = 5 + 12\), which simplifies to \(17x = 17\).

Step3: Divide by 17

Finally, we divide both sides by 17 to solve for \(x\). That is, \(\frac{17x}{17} = \frac{17}{17}\), which gives \(x = 1\).

Answer:

\(x = 1\)