math algebra 1 help, x-2/5+ x-7/3= -1?

Question

my question only states solve.

Answer 1

(x - 2) / 5 + (x - 7) / 3 = - 1

=>3.(x - 2) + 5.(x - 7) = - 15

=>3x - 6 + 5x - 35 = - 15

=>8x = 26

=>x = 26 / 8

so , x = 13 / 4

Answer 2

This is no biggie, you can do it!!

solve means solve for x.

so you simplify this equation however you want, as long as it makes sense:

since 2/5 and 7/3 are both subtracted from the two X's you would simplify them down to the following:

6/15 which is = 2/5 and 35 / 15 which is = 7/3
making the denominators ( the bottom number) the same will help you add the numerators( the top numbers) up

2x - (41/15) = -1

make 1 a common denominator
-1 = -15 / 15

you have to cancel out the 41 / 15 on the left side so you can solve for x, so in order to get rid of it, you add its opposite.

since it is being subtracted, you would then add 41/15 to each side

2x -41/15 + 41/15 = -15/15 + 41/15
2x = 41/15 - 15/15

since 41/15 and 15/15 have the same denominator, you can just subtract the numerators from each other:

41 - 15 = 26

plug it in to your 2nd to last step!

2x = 26 / 15

you would then divide by 2 to solve for X on its own

(remember when you divide by 2, the denominator stays the same, and the numerator changes)

x = 13 /15

Answer 3

The guy above me is WRONG!!

First get all the non-x terms on the right side of the equation...

x-2/5+ x-7/3= -1
x + x = -1 + 7/3 + 2/5

Now combine terms. On the right side put everything into one fraction with a common denominator of 15.

2x = (-15 + 35 + 6)/15
x = 26/30
x = 13/15 ANSWER

Check your work:

13/15 - 2/5 + 13/15 - 7/3 = -1

It works out....

Answer 4

it isn't any biggie, you're able to do it!! remedy capacity remedy for x. so which you simplify this equation despite in case you elect, as long because it is clever: in view that 2/5 and 7/3 are the two subtracted from the two X's you will possibly simplify them right down to right here: 6/15 that's = 2/5 and 35 / 15 that's = 7/3 making the denominators ( the backside selection) a similar will enable you to upload the numerators( the genuine numbers) up 2x - (40-one/15) = -a million make a million a complication-free denominator -a million = -15 / 15 you're able to cancel out the 40-one / 15 on the left part so which you will remedy for x, so as a manner to eliminate it, you upload its opposite. on account it is being subtracted, you will possibly then upload 40-one/15 to the two components 2x -40-one/15 + 40-one/15 = -15/15 + 40-one/15 2x = 40-one/15 - 15/15 in view that 40-one/15 and 15/15 have a similar denominator, you could basically subtract the numerators from one yet another: 40-one - 15 = 26 plug it in on your 2d to final step! 2x = 26 / 15 you will possibly then divide by utilising 2 to remedy for X by utilising itself (undergo in thoughts once you divide by utilising 2, the denominator keeps to be a similar, and the numerator transformations) x = 13 /15

Answer 5

Assume question is meant to read:-
(x - 2) / 5 + (x - 7) / 3 = - 1
3.(x - 2) + 5.(x - 7) = - 15
3x - 6 + 5x - 35 = - 15
8x = 26
x = 26 / 8
x = 13 / 4

Answer 6

x = 28/15