Solve the linear equations 1/4(x-5)+4=1/3(2x+7)-5/6

Question

Solve the linear equations
1/4(x-5)+4=1/3(2x+7)-5/6

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Tryphena 3 years 2021-09-05T12:28:17+00:00 1 Answers 0 views 0

Answers ( )

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    2021-09-05T12:29:20+00:00

    Answer:

    x = 3

    Step-by-step explanation:

    Given the linear equation :

    1/4(x-5)+4=1/3(2x+7)-5/6

    (x-5)/4 + 4 = (2x+7)/3 – 5/6

    Take the lcm and sum

    (x-5+16)/4 = (4x+14-5)/6

    (x+11)/4 = (4x+9)/6

    Cross multiply

    6(x+11) = 4(4x+9)

    6x + 66 = 16x + 36

    Collect like terms

    6x – 16x = 36 – 66

    -10x = – 30

    x = 30/10

    x = 3

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