![\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/y54whljoiif4w0yzuphid2ai16rmeidspu.png)
Solve for the variable 5=10/t+3.
![\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/4795701jcdlhw64vjrlc4qnze5p4ie3vyw.png)
When solving an equation, we need to make sure that all variables are on the left-hand side, and all numbers are on the right-hand side.
Since we have numbers on both sides, we need to move all numbers to the right:-
![\bold{5=(10)/(t) +3}](https://img.qammunity.org/2023/formulas/mathematics/high-school/3324q5l3pb2959pjhzqu4nwia0is05el8y.png)
Subtract 5 on both sides:-
![\bold{0=(10)/(t) +3-5}](https://img.qammunity.org/2023/formulas/mathematics/high-school/qvthir7fgq6q7cxigh0c0wt79n1x89gjxl.png)
On simplification,
![\bold{0=(10)/(t) -2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/adctvo36p72sjpeww1ibxg7sh5nhxenz0k.png)
Now, subtract 10/t on both sides:-
![\bold{-(10)/(t) =-2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/zy9tjv86hyelp8hj1ub4marm4l98d7t3l3.png)
On simplification,
![\bold{(10)/(t) =2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/e6q9n4l0g0tfea11ernfvb4gjyxxxcwb3l.png)
Multiply by t on both sides:-
![\bold{10=2t}](https://img.qammunity.org/2023/formulas/mathematics/high-school/n9nv6awu8m6xwrimy2fitahijdbdxx9fpr.png)
![\bold{2t=10}](https://img.qammunity.org/2023/formulas/mathematics/high-school/l35trnzkee5hiekk5lmh6c0h9chaglercn.png)
Divide by 2 on both sides:-
![\bold{t=5}](https://img.qammunity.org/2023/formulas/mathematics/high-school/kzx5kl1s4yfkpjwt2f5wn6eqlf1at6pr1r.png)
Good luck with your studies.
![\rule{300}{2}](https://img.qammunity.org/2023/formulas/mathematics/high-school/n06msa7nuv13pucgnby12ccvg19bv31w11.png)