Question

Solve for t 3(2t−5)/5 +2=8 What is my variable? What is happening my variable?

Answer 1

t = 7.5

Step-by-step explanation:

The initial expression is:

`(3(2t-5))/(5)+2=8`

Where t is the variable because is the only value that we don't know.

So, to solve for t, we need to subtract 2 from both sides:

`\begin{gathered} (3(2t-5))/(5)+2-2=8-2 \\ (3(2t-5))/(5)=6 \end{gathered}`

Multiplying by 5 in both sides:

`\begin{gathered} (3(2t-5))/(5)\cdot5=6\cdot5 \\ 3(2t-5)=30 \end{gathered}`

Dividing by 3, we get:

`\begin{gathered} (3(2t-5))/(3)=(30)/(3) \\ 2t-5=10 \end{gathered}`

Adding 5 on both sides:

`\begin{gathered} 2t-5+5=10+5 \\ 2t=15 \end{gathered}`

Dividing by 2, we get:

`\begin{gathered} (2t)/(2)=(15)/(2) \\ t=7.5 \end{gathered}`

Therefore, the solution is t = 7.5