What value of t makes the following equation true?

3 (1+2t) = 3t+5

1. 23

2. 83

3. 2

4. - 4

5. - 2

6. - 23

3 (1+2t) = 3t+5

Use distributive property:

3 + 6t = 3t + 5

Subtract 3 from both sides:

6t = 3t + 2

Subtract 3t from both sides:

3t = 2

Divide both sides by 3:

t = 2/3

t = 2 / 3

Explanation:

3 (1 + 2t) = 3t + 5

Simplify both sides of the equation

3 (1 + 2t) = 3t + 5

(3) (1) + (3) (2t) = 3t + 5 (Distribute)

3 + 6t = 3t + 5

6t + 3 = 3t + 5

Subtract 3t from both sides

6t + 3 - 3t = 3t + 5 - 3t

3t + 3 = 5

Subtract 3 from both sides

3t + 3 - 3 = 5 - 3

3t = 2

Divide both sides by 3

3t / 3 = 2 / 3

t = 2 / 3