Question

How do I solve for x?

Answer 1

$\huge\text{Hey there!}$

$\mathsf{5 = 1\dfrac{2}{3}x}$

$\mathsf{1\dfrac{2}{3}x = 5}$

$\mathsf{\dfrac{1\times3 + 2}{3}x = 5}$

$\mathsf{\dfrac{3 + 2}{3}x = 5}$

$\mathsf{\dfrac{5}{3}x = 5}$

$\large\textbf{MULTIPLY }\rm{\bf \dfrac{3}{5}}\large\textbf{ to BOTH SIDES}$

$\mathsf{{\dfrac{3}{5}\times\dfrac{5}{3}x= \dfrac{3}{5}\times 5}}$

$\large\textbf{SIMPLIFY IT!}$

$\mathsf{x = \dfrac{3}{5}\times5}$

$\mathsf{x = \dfrac{3}{5}\times\dfrac{5}{1}}$

$\mathsf{x = \dfrac{3\times5}{5\times1}}$

$\mathsf{x = \dfrac{15}{5}}$

$\mathsf{x = 15\div5}$

$\mathsf{x = 3}$

$\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 3}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitrite1040:)}$

Answer 2

Answer:

3

Step-by-step explanation:

1: Turn the mixed fraction into improper.

2: Multiply 3/5 to each side

3: The you get x = 3

You need to multiply the fraction instead of division because multiplying by the reciprocal is the same as dividing the normal fraction.