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

Question

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

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1 week 2022-01-11T18:19:58+00:00 1 Answer 0 views 0

Answers ( )

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    2022-01-11T18:21:48+00:00

    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

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