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20 March, 14:11

Misha solves the equation 3 x minus 2 (x + 3) = 4 (x minus 2) minus 7 by applying the distributive property to each side of the equation. The result is 3 x minus 2 x minus 6 = 4 x minus 8 minus 7. Misha then wants to combine like terms. Which are the terms Misha should combine?

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Answers (2)
  1. 20 March, 17:17
    0
    The terms that Misha should combine are 3x - 2x and - 8 - 7

    Step-by-step explanation:

    Misha have the equation : 3x-2 (x+3) = 4 (x-2) - 7

    After applying distributive property, a (b+c) = ab+ac

    3x - 2x - 6 = 4x - 8 - 7 ... (1)

    Now, we need to combine the like terms, like terms are the terms having the same coefficient and combining them means to combine their coefficients.

    In equation (1), 3x and - 2x are like terms as it have the same coefficient x

    Hence we will solve them and get (3-2) x = x

    Similarly, - 8 and - 7 can be solved and we get - 7-8 = - 15

    Now, the equation becomes, x-6 = 4x-15

    Then, again collecting the like terms on L. H. S and R. h. s and then solving, we get

    4x - x = 15-6

    3x = 9

    x = 3
  2. 20 March, 17:46
    0
    2 (x+3) = 4

    2x+6=4

    2x=4-6

    2x=-2

    2x:2

    x=1
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