What is the value of t in the equation 3(2t + 5) = 5t + 25?

Solution:

Given, the equation is 3(2t + 5) = 5t + 25

We have to find the value of t in the equation.

By multiplicative property,

3(2t + 5) = 6t + 15

So, 6t + 15 = 5t + 25

By grouping,

6t - 5t = 25 - 15

t = 10

Verification:

LHS: 3(2t + 5)

= 3(2(10) + 5)

= 3(20 + 5)

= 3(25)

= 75

RHS: 5t + 25

= 5(10) + 25

= 50 + 25

= 75

LHS = RHS

Therefore, the value of t is 10.

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What is the value of t in the equation 3(2t + 5) = 5t + 25?

Summary:

The value of t in the equation 3(2t + 5) = 5t + 25 is 10.