Question

Need help rewriting the equation

Answer 1

Given:

The equation is:

$2-\dfrac{5}{6}x=\dfrac{7}{8}$

To find:

The simplified for of the given equation so that it does have fractions.

Solution:

We have,

$2-\dfrac{5}{6}x=\dfrac{7}{8}$

Denominators values are 6 and 8. LCM of 6 and 8 is 24 so multiply both sides by 24.

$24\left(2-\dfrac{5}{6}x\right)=24\times \dfrac{7}{8}$

$24(2)-24\left(\dfrac{5}{6}x\right)=24\times \dfrac{7}{8}$

$48-4\times 5x=3\times 7$

$48-20x=21$

Therefore, the required equation is $48-20x=21$.