can someone help me with this algebra problem ?

Question

5(T+6)-7T=32 .......... I Really DONT GET it I WOULD DO ANY THING 2 GET HOW THE STEPS GO :( AND THE ANSWER OFCOURSE THANKS

Answer 1

5(T + 6) - 7T = 32

First: eliminate the parenthesis > multiply the outer term with the inner terms...

5(T) + 5(6) - 7T = 32
5T + 30 - 7T = 32
- 2T + 30 = 32

Sec: subtract 30 from both sides...

- 2T + 30 - 30 = 32 - 30
- 2T = 2

Third: solve for "T" by isolating it on one side > divide both sides by - 2...

- 2T/-2 = 2/-2
T = - 1

Answer 2

distribute the 5 in the 5(t+6)
5*t + 5*6 - 7t = 32
5t + 30 - 7t = 32 combine the ts
-2t + 30 = 32 subtract 30 from both sides
-2t + 30 - 30 = 32 - 30
-2t = 2 divide both sides by -2
t = -2/2
t= -1

Answer 3

5(T+6)-7T=32
5T+(5*6)-7T=32 distribute the 5
5T-7T+30=32 rearranged and multiplied out 5*6
-2T+30=32 combined like terms
-2T=2 subtract 30 from both sides
T=-1 divide both sides by -2

note: more steps shown than really necessary to ensure your understanding.