Answer :

t + 10 = 7t - 14, move the t to one side so subtract it from the left & do the same to the right

~ 10 = 6t - 14, isolate the t so add 14 to both sides

~ 24 = 6t, get rid of the 6 by dividing from both sides

~ 24/6 = 4

~ 4 = t
[tex]t+10=7t-14\ \ \ \ \ |subtract\ 10\ from\ both\ sides\\\\t=7t-24\ \ \ \ \ |subtract\ 7t\ from\ both\ sides\\\\-6t=-24\ \ \ \ \ \ |divide\ both\ sides\ by\ (-6)\\\\\boxed{t=4}[/tex]