Question

Consider this equation.32-6= (4 – 2)How many solutions does the equation have? Show or explain how you got your answer.Enter your answer and your work or explanation in the space provided.

Answer 1

$\frac{3}{8}x-6=\frac{1}{2}(4-x)$$\begin{gathered} \frac{3x}{8}-6=2-\frac{x}{2} \\ \frac{3x}{8}+\frac{x}{2}=2+6 \\ \frac{6x+8x}{16}=8 \\ \frac{14x}{16}=8 \\ \frac{7x}{8}=8 \\ 7x=64 \\ x=\frac{64}{7} \end{gathered}$

This equation only has one solution. One would say this because x has exponent 1, and the comprobation is above.