Question 80027
Solve for x:
{{{2/5 -(2/15)x = 14/15}}} I hope I've got this right!
When you write 2/15x it could mean:{{{2/15x}}} or {{{(2/15)x}}}
When you mean {{{(2/15)x}}} you ought to use parentheses thusly:(2/15)x to remove any ambiguity. Anyway, I'll assume that you mean it how I've written it in the first equation.
{{{2/5 - (2/15)x = 14/15}}} Multiply through by 15 to clear the fractions.
{{{(15)((2/5)-(2/15)x) = 15(14/15)}}} Simplify.
{{{6-(2)x = 14}}} Add 2x to both sides.
{{{6 = 2x+14}}} Subtract 14 from both sides.
{{{-8 = 2x}}} Divide both sides by 2.
{{{x = -4}}}
Check: Substitute x = -4
{{{2/5-(2/15)(-4) = 2/5+8/15}}}={{{6/15+8/15 = 14/15}}}