Solve the following equation
2t-5=3(t-5)
Solve for t
2t - 5 = 3(t - 5)
Simplify by removing parenthesesSimplify 3(t - 5):
Distribute the 3 to each term in (t-5)
3 * t = (3 * 1)t = 3t
3 * -5 = (3 * -5) = -15
Our Total expanded term is 3t-15
Our new term is
3t - 15
Show our new expression:
2t-5=3t-15
Group variables
Group our variables 2t and 3t
subtract 3t from both sides
2t - 5 - 3t = 3t - 15 - 3t
Cancel 3t on the right side:
-t - 5 = -15
Divide each side by 2
| 2t | |
| 2 |
| = |
| -5 |
| 2 |
Group constants
Group our constants -5 and -15.
add 5 to both sides
-t - 5 + 5 = -15 + 5
Cancel 5 on the left side:
-t = -10
Divide each side of the equation by -1
| -1t | |
| -1 |
| = |
| -10 |
| -1 |
t = 10
Final Answer
t = 10
