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:

$\frac{5}{6}x + 4 = \frac{422}{105} - \frac{4}{5}$

We have to find the answer to this equation

Let us solve the equation step by step

From given,

$\frac{5}{6}x + 4 = \frac{422}{105} - \frac{4}{5}$

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,

$\frac{5}{6}x + 4 = \frac{422 \times 1}{105 \times 1} - \frac{4 \times 21}{5 \times 21}\\\\\frac{5}{6}x + 4 = \frac{422-84}{105}\\\\\frac{5}{6}x + 4 = \frac{338}{105}\\\\\frac{5}{6}x + 4 =3.219\\\\\frac{5}{6}x = 3.219 - 4\\\\\frac{5}{6}x = -0.781\\\\5x = -4.686\\\\x = - 0.9372$

Thus the answer to given equation is x = -0.9372