Question

CO
$2x \div 3 = 18$
​

Answer 1

Answer:

$\Large\boxed{\mathsf{X=27}}$

Step-by-step explanation:

$\displaystyle \mathsf{GIVEN}$

To solve this problem, first you have to isolate by the x on one side of the equation.

$\displaystyle \mathsf{SOLUTIONS}$

Multiply by a fraction from left to right numbers.

$\displaystyle 2*\frac{x}{3}=\frac{2x}{3}$

Rewrite the problem down.

$\displaystyle \mathsf{\frac{2x}{3}=18}}$

Multiply by 3 from both sides.

$\displaystyle \mathsf{\frac{2x}{3}\times3=18\times3}$

Solve.

Multiply the numbers from left to right.

$\displaystyle \mathsf{18\times3=54}$

$\displaystyle \mathsf{2x=54}$

Then, you divide by 2 from both sides.

$\displaystyle \mathsf{\frac{2x}{2}=\frac{54}{2}}$

Solve. (Simplify/ to find the right answer.)

Divide.

$\displaystyle \mathsf{54\div2=\boxed{27}}$

$\Large\boxed{\mathsf{\rightarrow X=27}}$

Therefore, the correct answer is x=27.

Answer 2

Answer:

$x = 27$

Step-by-step explanation:

An easier way to represent this question would be to change the operation from division to multiplication, which, therefore, requires you to multiply 2 with the reciprocal of 3.

$2x$ ÷ $3 = 18$

$2x(\frac{1}{3} )=18$

$\frac{2}{3}x = 18$

$\frac{2}{3}(\frac{3}{2}) = 18(\frac{3}{2})$

The Left Side cancels out after multiplying two thirds with its multiplicative inverse.  $x$ remains, however.  

($\frac{18}{1} (\frac{3}{2})$ = $\frac{54}{2}$ = $\frac{27}{1}$)

$x = 27$