Question 574630
{{{ (3/2)x - (5/6) + x = (1/2)x + (2/3)  }}}
Multiply both sides by {{{6}}}
{{{ 9x - 5 + 6x = 3x + 4 }}}
{{{ 15x - 3x = 9 }}}
{{{ 12x = 9 }}}
{{{ x = 3/4 }}}
check answer:
{{{ (3/2)*(3/4) - 5/6 + 3/4 = (1/2)*(3/4) + 2/3  }}}
{{{ 9/8 - 5/6 + 3/4 = 3/8 + 2/3 }}}
Multiply each side by {{{ 48 }}}
{{{ 54 - 40 + 36 = 18 + 32 }}}
{{{ 50 = 50 }}}
OK