# math problem?

1/4x+5=1/5x+16

can you explain how to solve this please?

and btw garry i asked "can you explain how to solve" not "solve this" i am trying to learn

### 10 Answers

- MathguyLv 51 month agoFavourite answer
Here a few hints... You need to try to solve it your self or you won't understand it... hopefully others will not just work it out for you...

Since x ≠ 0, 4x ≠ 0, and 5x ≠ 0 also

multiply the entire equation by 20x to get rid of all fractions....

e.g ( 1 / 4x + 5 ) * 20x = 5 + 100x for a start ... you do the other side....

then collect like terms to one side, constants to the other, and solve for x

- garryLv 51 month ago
zach use your own brain instead of being so lazy . only wants the answer because your to lazy to learn ..

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- DixonLv 71 month ago
put X = 1/x then it becomes

X/4 + 5 = X/5 + 16

5X + 100 = 4X + 320

X = 220

x = 1/220

- Bill-MLv 71 month ago
(1/4)X + 5 = (1/5)X + 16

Step 1. Multiply both sides by 20 to remove fractions.

5X + 100 = 4X + 320

Step 2. Subtract 100 from both sides

5X = 4X + 220

Step 3 Subtract 4X from both sides

X = 220

- llafferLv 71 month ago
As written, I'm presuming that is:

(1/4)x + 5 = (1/5)x + 16

To solve this, I'll first multiply both sides by the LCD (20) to get rid of the fractions:

5x + 100 = 4x + 320

Now, this is something you should be able to finish on your own if you have questions like this.

If the x's are in the denominators, or even more important, the + constants in the denominator, you need to show that in a set of parenthesis so we know what exactly the question is.