How do you solve | 2 x + 3 | + 4 = 5 x

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How do you solve             |              2        x        +        3            |        +    4    =    5    x

Jaylee Dodson · Accepted Answer

Step 1Solve:            |              2        x        +        3            |        +    4    =    5    x  Since             |      a      |        =    a   and             |              -        a            |        =    a   , there is both a positive and negative component to the equation, therefore you will have two equations to solve.First Equation:   (  2  x  +  3  ) is Positive      2    x    +    3    +    4    =    5    x  Subtract 2x from both sides.      3    +    4    =    5    x    -    2    x  Simplify.      7    =    3    x  Divide both sides by 3.            7      3        =    x  Switch sides.      x    =          7      3      Second Equation:   (  2  +  3  ) is Negative      -          (      2      x      +      3      )        +    4    =    5    x  Simplify.      -    2    x    -    3    +    4    =    5    x  Add 2x to both sides.      -    3    +    4    =    5    x    +    2    x  Simplify.      1    =    7    x  Divide both sides by 7.            1      7        =    x  Switch sides.      x    =          1      7      Therefore:      x    =          1      7        ,          7      3

How do you solve <mstyle displaystyle="true"> | 2 x

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