How do you solve 3t-2=5(t-2)-2(t-4)?

Aug 12, 2017

The solution is undecidable.

Explanation:

First multiply out the brackets (parentheses) on the right side:

3t−2=5(t−2)−2(t−4)=5t-10-2t+8

Now collect terms including $t$ on the left and terms that are just numbers on the right. Remember to change the sign when you move a number from one side to the other:

$3 t - 5 t + 2 t = 2 - 10 + 8$

Collect like terms:

$0 t = 0$

This does not allow us to determine the value of $t$.