Answer :
[tex]t-(7-3t)+5=2t+10\ \ \ \ \ | omit\ the\ bracket\\\\
t-7+3t+5=2t+10\\\\
4t-2=2t+10\ \ \ | subtract\ 2t\\\\
2t-2=10\ \ \ | add\ 2\\\\
2t=12\ \ \ \ | divide\ by\ 2\\\\
t=6[/tex]
t-(7-3t)+5=2t+10
combine like terms for each side first
(7-4t)-5=2t+10
than combine like terms to one side to make the variable positive
(7)-5=6t+10
next combine like terms to the other side( just the number not the variable
7-5-10=6t
now you simplify again
-8=6t
than you divide both sides by 6 to get t(the variable) by it self
-1[tex] \frac{1}{3} [/tex]=t
combine like terms for each side first
(7-4t)-5=2t+10
than combine like terms to one side to make the variable positive
(7)-5=6t+10
next combine like terms to the other side( just the number not the variable
7-5-10=6t
now you simplify again
-8=6t
than you divide both sides by 6 to get t(the variable) by it self
-1[tex] \frac{1}{3} [/tex]=t