Question

fiona solved the equation shown.
\\(\frac{1}{2} - \frac{1}{3}(6x - 3) = -\frac{13}{2}\\)
fiona’s solution

steps	resulting equations
2	\\(\frac{3}{2}-2x=-\frac{13}{2}\\)
3 isolate the variable expression by using the addition property of equality.	\\(-2x=-8\\)
4 isolate the variable by using the division property of equality.	\\(x = 4\\)

what is the missing step of her solution?
\\(\circ\\) simplify by combining like terms.
\\(\circ\\) simplify by using addition property of equality.
\\(\circ\\) simplify by using the multiplication property of equality.
\\(\circ\\) simplify by using the division property of equality.

Explanation:

Step1: Compare Step1 and Step2 equations

From Step1: $\frac{1}{2}-2x+1=-\frac{13}{2}$; Step2: $\frac{3}{2}-2x=-\frac{13}{2}$

Step2: Identify the operation

Combine $\frac{1}{2}+1=\frac{3}{2}$, which is combining like terms.

Answer:

Simplify by combining like terms.