Question

1. 16 = 16 + 4.5x + 5x

combine like terms to rewrite the equation in two - step form.
16 = 9.5x + 16
follow steps to isolate the variable.
= x

Explanation:

Step1: Combine like terms on RHS

First, we combine the like terms \(4.5x\) and \(5x\) on the right - hand side (RHS) of the equation \(16 = 16+4.5x + 5x\).
To combine \(4.5x\) and \(5x\), we add their coefficients: \(4.5+5=9.5\). So the equation becomes \(16=16 + 9.5x\).

Step2: Subtract 16 from both sides

Next, we want to isolate the term with \(x\). We subtract 16 from both sides of the equation \(16=16 + 9.5x\).
\(16-16=16 + 9.5x-16\)
Simplifying both sides: \(0 = 9.5x\)

Step3: Solve for x

To solve for \(x\), we divide both sides of the equation \(0 = 9.5x\) by \(9.5\).
\(\frac{0}{9.5}=\frac{9.5x}{9.5}\)
Which gives us \(x = 0\).

Answer:

\(x = 0\)