Starting equation: |
( | 49 |
) | x+1 | = | ( | 278 |
) | x + 6 |

Re-write | ( | 49 |
) | = | ( | 23 |
) | 2 | and | ( | 278 |
) | = | ( | 23 |
) | -3 |

[( | 23 |
) | 2 | ] | x+1 | = | [( | 23 |
) | -3 | ] | x + 6 |

( | 23 |
) | 2(x+1) | = | ( | 23 |
) | -3(x + 6) |

2(x + 1) = -3(x + 6)

2x+2 = -3x - 18

5x = -20

x = -4 |