Question

X 18 over 4=5 solve for x

Answer 1

The value of x is
`$x=(10)/(9)$`.

Let's solve the equation:

`$(x \cdot 18)/(4)=5$`

We can solve the equation by re-ordering terms, simplifying the fraction, eliminating fraction denominators, canceling multiplied terms that are in the denominator, multiplying the numbers, dividing both sides of the equation by the same factor, and simplifying.

Steps to solve:

1. Re-order terms so constants are on the left:

`$(18x)/(4)=5$`

2. Simplify fraction:

`$(9x)/(2)=5$`

3. Eliminate fraction denominators:

`$2 \cdot (9x)/(2)=2 \cdot 5$`

4. Cancel multiplied terms that are in the denominator:

`$9x=2 \cdot 5$`

5. Multiply the numbers:

9x=10

6. Divide both sides of the equation by the same factor:

`$(9x)/(9)=(10)/(9)$`

7. Simplify:

`$x=(10)/(9)$`