Solve for

|2x + 6| - 7 + 7 = 40 + 7

|2x + 6| = 47

Since this is an absolute value equation, we need to setup two equations

- 2x+6 = 47
- 2x+6 = -47

Subtract - 6 from both sides of the equation

2x+6 - 6= 47 - 6

2x = 41

2x | |

2 |

= |

41 |

2 |

Solution to absolute value equation 1 is

Subtract - 6 from both sides of the equation

2x+6 - 6= -47 - 6

2x = - 53

2x | |

2 |

= |

-53 |

2 |

Solution to absolute value equation 2 is