Solve for x -2(3x - 15) - 25 = 35

9 answers

To solve for x, first distribute the -2:

-6x + 30 - 25 = 35

Combine like terms:

-6x + 5 = 35

Subtract 5 from both sides:

-6x = 30

Divide by -6 to solve for x:

x = -5

Therefore, the solution is x = -5.
Solve for x 12x + 5 = 10x - 11
To solve for x, first bring all terms involving x to one side of the equation:

12x - 10x = -11 - 5

Simplify:

2x = -16

Divide by 2:

x = -8

Therefore, the solution is x = -8.
At the beginning of the month, a song on a streaming service already had 1,000listens, and was getting 38 new listens each day, Meanwhile, a different song already had 900 listens, and was getting 40 new listens each day. Write an equation to show the number of days it would take for the two songs to have the same number of listens. Use x as your variable
Let x be the number of days it would take for the two songs to have the same number of listens.

For the first song with 1,000 listens and gaining 38 new listens each day, the number of listens after x days would be:

1,000 + 38x

For the second song with 900 listens and gaining 40 new listens each day, the number of listens after x days would be:

900 + 40x

To find the number of days it would take for the two songs to have the same number of listens, we set the two equations equal to each other:

1,000 + 38x = 900 + 40x

Now we can solve for x by simplifying and finding the value of x that makes the number of listens equal between the two songs.
An ice skating rink has two ways you can use the facility. The first option is to pay $10 per visit. The second option is to pay $32 per month, and $6 per visit. Write and solve an equation to show the number of visits it would take for the cost of the two plans to be equal.
Let's denote the number of visits as "v".

For the first option, where you pay $10 per visit, the total cost will be 10v.

For the second option, where you pay $32 per month and $6 per visit, the total cost will be 32 + 6v.

To find the number of visits it would take for the cost of the two plans to be equal, we can set up the equation:

10v = 32 + 6v

Subtract 6v from both sides:

4v = 32

Divide by 4 to solve for v:

v = 8

Therefore, it would take 8 visits for the cost of the two plans to be equal.
An ice skating rink has two ways you can use the facility. The first option is to pay $10 per visit. The second option is to pay $32 per month, and $6 per visit. Write and solve an equation to show the number of visits it would take for the cost of the two plans to be equal.
The songs will have the same number of listens after __ days.
To find the number of visits it would take for the cost of the two plans to be equal, Let's denote the number of visits as "v".

For the first option, where you pay $10 per visit, the total cost will be 10v.

For the second option, where you pay $32 per month and $6 per visit, the total cost will be 32 + 6v.

To find the number of visits it would take for the cost of the two plans to be equal, we can set up the equation:

10v = 32 + 6v

Now we solve for v

Subtract 6v from both sides:

4v = 32

Divide both sides by 4:

v = 8

Therefore, it would take 8 visits for the cost of the two plans to be equal.