Question

bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x - 4.75) = 629.9. she left out the description for the last step.
biancas solution

	steps	resulting equations
2	combine like terms.	10.4x - 35.7 = 629.9
3	use the addition property of equality.	10.4x = 665.6
4		x = 64

what is the missing step of her solution?

Explanation:

Step1: Analyze the equation before step 4

Before step 4, the equation is \(10.4x = 665.6\). We need to solve for \(x\).

Step2: Identify the operation needed

To isolate \(x\), we use the division property of equality, which states that if \(a = b\) (where \(a\), \(b\) are expressions and \(c
eq0\)), then \(\frac{a}{c}=\frac{b}{c}\). Here, we divide both sides of the equation \(10.4x = 665.6\) by \(10.4\).
So, \(\frac{10.4x}{10.4}=\frac{665.6}{10.4}\), which simplifies to \(x = 64\). So the missing step is to use the division property of equality (divide both sides by \(10.4\)) to solve for \(x\).

Answer:

Use the division property of equality (divide both sides by \(10.4\)) to solve for \(x\).