Question

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

Answer 1

t = 2 / 3

Step-by-step 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

Answer 2

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