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21 May, 11:17

Solve: $|2x - 1| = |3x + 5|$. write your answers as a list of numbers, separated by commas,

e. g. "23, 19" (but without the quotes).

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  1. 21 May, 11:30
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    First, disregard the sign for absolute value and solve for x.

    2x - 1 = 3x + 5

    2x - 3x = 5 + 1

    -x = 6

    x = - 6

    Now, you have to interpret the absolute value. The absolute value of x is always the positive version of whatever the number is. Since x = - 6, its absolute value is 6. Therefore, the possible value for x is only one, which is 6.
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