Question 174557
{{{3/8}}}x + {{{5/6}}}= {{{2/3}}} what value is x?
:
Multiply a common multiple of all three denominators, 24:
24*{{{3/8}}}x + 24*{{{5/6}}}= 24*{{{2/3}}}
:
Cancel out the denominators and you have:
3(3x) + 4(5) = 8(2)
:
9x + 20 = 16
:
9x = 16 - 20
:
9x = -4
x = {{{-4/9}}}
:
:
Check solution in original equation:
{{{(3/8)(-4/9)}}} + {{{5/6}}}= {{{2/3}}}
{{{-3/18}}} + {{{5/6}}}= {{{2/3}}}
{{{-1/6}}}x + {{{5/6}}}= {{{4/6}}}