Question 119482
-7x-24=-26 1/3
First step, change your mixed number to a fraction.
-26 1/3=-79/3
{{{-7x-24=-79/3}}}
{{{-7x-24+24=-79/3+24}}} Add 24 to both sides of the equation. 
{{{-7x=-79/3+24}}}
You need to change 24 to a fraction with a denominator of 3 to add the fractions.
24=72/3
{{{-7x=-79/3+24}}}
{{{-7x=-79/3+72/3}}}Substitute
{{{-7x=(-79+72)/3}}}Same denominator, just add numerators.
{{{-7x=(-7)/3}}}
{{{x=(-7)/(3(-7))}}}Divide both sides by (-7).
{{{x=cross(-7)/(3*cross(-7))}}}(-7) in denominator and numerator cancel out. 
{{{x=1/3}}}
Check your answer.
-7x-24=-26 1/3
-7(1/3)-24=-26 1/3
{{{-7(1/3)-72/3=-79/3}}}
{{{-7/3-72/3=-79/3}}}
{{{-(7+72)/3=-79/3}}}
{{{-79/3=-79/3}}}
Your answer led to a true statement.
It's a good answer.