Question

solving equations
24x + 5 - 6x = 59
solve for x! use the sketchpad to show your work.
x = 3
edit my response

Explanation:

Step1: Combine like terms

First, we combine the \(x\)-terms on the left side of the equation \(24x + 5 - 6x = 59\). Combining \(24x\) and \(-6x\) gives \((24x - 6x)+5 = 59\), so \(18x + 5 = 59\).

Step2: Subtract 5 from both sides

Next, we subtract 5 from both sides of the equation to isolate the term with \(x\). So, \(18x + 5 - 5 = 59 - 5\), which simplifies to \(18x = 54\).

Step3: Divide by 18

Finally, we divide both sides of the equation by 18 to solve for \(x\). That is, \(\frac{18x}{18}=\frac{54}{18}\), so \(x = 3\).

Answer:

\(x = 3\)