#1**0 **

In order to solve for x in this equation, we must perform a multitude of operations.

\(2x-6=\frac{3(10-2x)}{2}+\frac{3+5x}{2}\) | Multiply by 2 on both sides to eliminate the pesky fractions. |

\(4x-12=3(10-2x)+3+5x\) | Distribute the 3 into the term 10-2x. |

\(4x-12=30-6x+3+5x\) | Simplify the right hand side by combining the like terms. |

\(4x-12=-x+33\) | Add x to both sides to get the x's on one side of the equation. |

\(5x-12=33\) | Add 12 to both sides. |

\(5x=45\) | Divide by 5 on both sides of the equation. |

\(x=9\) | |

TheXSquaredFactor Oct 9, 2017