How Do I Solve for X in This Complex Physics Equation?

[pookisantoki]

I'm having trouble solving for X for one of my physics homework
1.09= ([5580-x]/[2426.0867+(x/.430)])
Please help! Thank you

 

[berkeman]

I'm having trouble solving for X for one of my physics homework
1.09= ([5580-x]/[2426.0867+(x/.430)])
Please help! Thank you

Welcome to the PF. Per the PF Rules (see the link at the top of the page), you must do the work on your homework questions. I can give you a hint to get you started -- multiple both sides of the equation by the denominator of the right-hand side (RHS). Show your work.

 

[pookisantoki]

Sorry, it probably just looked like i wanted an answer but this was my set up for a problem that went like this and I just had problem trying to figure out how to solve for X. Like where to go after setting it up

This was the problem:
In reaching her destination, a backpacker walks wiwth an average velocity of 1.09 m/s, due west. This average velocity results, because she hikes for 5.58km with an average velocity of 2.30m/s due west, turns around, and hikes with an average velocity of .430 m/s due east. How far east ddid she walk (in km)

So you said to multiply both side by .430 or this whole thing [2426.0867+(x/.430)]?

 

[berkeman]

Sorry, it probably just looked like i wanted an answer but this was my set up for a problem that went like this and I just had problem trying to figure out how to solve for X. Like where to go after setting it up

This was the problem:
In reaching her destination, a backpacker walks wiwth an average velocity of 1.09 m/s, due west. This average velocity results, because she hikes for 5.58km with an average velocity of 2.30m/s due west, turns around, and hikes with an average velocity of .430 m/s due east. How far east ddid she walk (in km)

So you said to multiply both side by .430 or this whole thing [2426.0867+(x/.430)]?

Multiple both sides by the denominator of the RHS. What does that do to the RHS?

 

[pookisantoki]

K so I multipled it
1.09 * (2426.0867 + (x/.430))=5580-x

2644.4345+ (1.09x/.4687)=5580-x

If i was to subtract 5580 on with side and switch -x to +x., What about the X on the other side?

 

[berkeman]

K so I multipled it
1.09 * (2426.0867 + (x/.430))=5580-x

2644.4345+ (1.09x/.4687)=5580-x

If i was to subtract 5580 on with side and switch -x to +x., What about the X on the other side?

Your goal in this algebra problem is to gaher terms. Gather the terms that involve X, and use the distributive rule...