Question

5=1 2/3x how do I solve for x?

Answer 1

$\huge\textbf{Hey there!}$

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

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

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

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

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

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

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

$\large\text{SIMPLIFY IT!}$

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

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

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

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

$\mathsf{x = \dfrac{15\div5}{5\div5}}$

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

$\mathsf{x = 3\div1}$

$\mathsf{x = 3}$

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

~$\frak{Amphitrite1040:)}$

Answer 2

You'll first Cross multiply: 5× 3x

that'll give you 15x.

15x=12(12 is a numerical constant).

Divide both sides by the the coefficient of X .That is 15x/15= 12/15

Therefore the answer is 12/15= x