Question

solve for x. use the sketchpad to show your work. 15 = -3(4x + 5) + 13x

Explanation:

Step1: Distribute -3

First, we distribute the -3 across the terms inside the parentheses. Using the distributive property \(a(b + c)=ab+ac\), we have:
\(15=-3\times4x+(-3)\times5 + 13x\)
\(15=-12x-15 + 13x\)

Step2: Combine like terms

Next, we combine the \(x\)-terms. The \(x\)-terms are \(-12x\) and \(13x\). Combining them gives:
\(15=(-12x + 13x)-15\)
\(15=x-15\)

Step3: Solve for x

Now, we add 15 to both sides of the equation to isolate \(x\).
\(15 + 15=x-15 + 15\)
\(30=x\)

Answer:

\(x = 30\)