Four times the sum of a number and 3 is the same as the sum of two times the number and 8. Find the number.

Question

Four times the sum of a number and 3 is the same as the sum of two times the number and 8. Find the number.

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Linh Đan 3 years 2021-08-17T05:54:02+00:00 1 Answers 0 views 0

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    2021-08-17T05:55:57+00:00

    Answer:

    Step-by-step explanation:

    4 (x + 3) = 2x + 8   <—-“four times the sum of a number and three is equal to eight more than twice the number.”

    Second, we want to solve the equation:

    4 (x + 3) = 2x + 8

    4x + 12 = 2x + 8

    2x + 12 = 8       <——-subtract 2x from both sides of the equation.

    2x = -4              <——-subtract -12 from both sides

    x = -2                <——-divide both sides by 2 which leaves a negative answer

    Third, we want to check the answer by substituting the value of -2 for x in the original equation.

    4 (x + 3) = 2x + 8

    4 (-2 +3) = 2(-2) + 8

    -8 + 12 = -4 + 8

      4        =      4

    4 (x + 3) = 2x + 8   <—-“four times the sum of a number and three is equal to eight more than twice the number.”

    Second, we want to solve the equation:

    4 (x + 3) = 2x + 8

    4x + 12 = 2x + 8

    2x + 12 = 8       <——-subtract 2x from both sides of the equation.

    2x = -4              <——-subtract -12 from both sides

    x = -2                <——-divide both sides by 2 which leaves a negative answer

    Third, we want to check the answer by substituting the value of -2 for x in the original equation.

    4 (x + 3) = 2x + 8

    4 (-2 +3) = 2(-2) + 8

    -8 + 12 = -4 + 8

      4        =      4

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )