Question

which equation has like terms on both sides of the equal sign?
a) q = 9
b) \\(\frac{7}{d} = a + c\\)
c) 3z - 1 = x
d) 5b = 8b - 2

Explanation:

Step1: Define like terms

Like terms are terms with the same variable(s) raised to the same power.

Step2: Analyze Option A

Left side: $q$ (variable term); Right side: $9$ (constant term). No like terms on both sides.

Step3: Analyze Option B

Left side: $\frac{7}{d}$ (variable term with $d$); Right side: $a+c$ (variables $a,c$). No like terms on both sides.

Step4: Analyze Option C

Left side: $3z-1$ (variable $z$); Right side: $x$ (variable $x$). No like terms on both sides.

Step5: Analyze Option D

Left side: $5b$ (variable term with $b$); Right side: $8b-2$ (variable term $8b$ with $b$). These are like terms.

Answer:

D) $5b = 8b - 2$