Linear Equation...

If $$13$$ is added to one-half of a certain number, the result is $$37$$. The original number is equal to

If $$16+4x$$ is $$10$$ more than $$14$$, what is the value of $$8x$$?

The monthly membership fee for an online television and movie service is $ $$9.80$$. The cost of viewing television shows online is included in the membership fee, but there is an additional fee of $ $$1.50$$  to rent each movie online. For one month, Jill's membership and movie rental fees were $  $$12.80$$ . How many movies did Jill rent online that month?

Last week Raul worked $$11$$ more hours than Angelica. If they worked a combined total of $$59$$ hours, how many hours did Angelica work last week?

The ratio of adults to girls to boys on a class field trip was $$1:4:5$$. If the trip included $$6$$ more boys than girls, how many adults were with the group?

If $$\dfrac{5}{x+3} = \dfrac{1}{x}+\dfrac{1}{2x}$$, calculate the value of $$x$$.

A food truck sells salads for $ $$6.50$$ each and drinks for $ $$2.00$$ each. The food truck's revenue from selling a total of $$209$$ salads and drinks in one day was $ $$836.50$$. How many salads were sold that day?

Solve the equation: $$\dfrac{12x+3}{2} = \dfrac{x+1}{4}$$.

Solve the equation:
$$-(x-5)+5(x-9)=2(x+8)-(2x+5)$$.

If $$\dfrac{19}{5x+17} = \dfrac{19}{31}$$, then find $$x $$.