Question 136140
For problems in one variable, you need to isolate the variable on one side of the equation.

Given: {{{2x-5=9x+7}}}

First collect the terms containing the variable on one side and the constant terms on the other side. To do this, subtract 2x from both sides and then subtract (-7) from both sides. Think of the equal sign as a 'balance' point. Whatever you do to one side, you have to do to the other in order to remain in balance.

{{{-5 -7 =9x-2x}}}

{{{-12 = 7x}}} 

Now isolate the variable, by dividing both sides by 7
{{{-12/7 = x }}}

Now check your answer by substituting {{{-12/7}}} for x in the original equation.

Does {{{(2 * (-12/7) - 5) = (9 * (-12/7) + 7) }}}
{{{(-24/7) - 5 = (-108/7) + 7}}}
{{{-24 - 35 = -108 + 49 }}} Check!