Question

What is the value of t that satisfies the equation below? 3(t+4)-2(2t+3)=4

Explain how you got your answer

Answer 1

t = 2

Explanation:

First, we have to simplify the equation by multiplying 3 and -2 by everything in the corresponding parenthesis:

3(t+4) simplifies = 3t + 12

-2(2t+3) simplifies = -4t - 6

So:

3t + 12 - 4t - 6 = 4

Now we can combine like terms:

-t +6 = 4

Then we subtract 6 on both sides:

-t = -2

Then we divide by -1 in order to get rid of the negative:

t = 2, final answer.