Question

What is the answer to this equation
5/6x+4=422/105-4/5

Answer 1

The answer to given equation is x = -0.9372

Solution:

Given equation is:

`(5)/(6)x + 4 = (422)/(105) - (4)/(5)`

We have to find the answer to this equation

Let us solve the equation step by step

From given,

`(5)/(6)x + 4 = (422)/(105) - (4)/(5)`

Solve the right side of equation

Take L.C.M for 105 and 5

Prime factor of 5 = 5

Prime factor of 105 = 3 x 5 x 7

Multiply these factors together to find the LCM.

LCM = 3 x 5 x 7 = 105

Thus,

`(5)/(6)x + 4 = (422 * 1)/(105 * 1) - (4 * 21)/(5 * 21)\\\\(5)/(6)x + 4 = (422-84)/(105)\\\\(5)/(6)x + 4 = (338)/(105)\\\\(5)/(6)x + 4 =3.219\\\\(5)/(6)x = 3.219 - 4\\\\(5)/(6)x = -0.781\\\\5x = -4.686\\\\x = - 0.9372`

Thus the answer to given equation is x = -0.9372