Question

Please help -3/2x - 1 = 2/5x + 4

Answer 1

Is that (-3/2)x and (2/5)x or -3 over 2x and 2 over 5x?

Answer 2

(-3/2)x - 1 = (2/5)x + 4

Answer 3

You can get rid of the fractions if you multiply through by a factor of 10. If you multiply every term on both sides of the equation, you don't change the equation.

So,

multiplying (-3/2)x by 10, you get -15x
multiplying (2/5)x by 10 you get 4x
multiplying -1 by 10 results in -10
and multiplying 4 by 10 results in 40, so you end up with

-15x-10=4x+40

Can you take it from there, or do you need more help?

Answer 4

Of course, I only chose 10 because it worked for this equation. Other equations would need a different factor.

Answer 5

need more help.

Answer 6

not understanding how you got 4x from 2/5 x 10

Answer 7

2/5 x 10 = 20/5
20 divided by 5 is 4

Answer 8

-3/2 x 10 = -30/2
-30 divided by 2 is -15

Answer 9

me have no idea

Answer 10

I have never seen it work that way by multiplying everything by 10

Answer 11

so am I going to add -15x and 4x or subtract

Answer 12

-(3/2)x-1=(2/5)x+4 Combining like terms together you get:

-(3/2)x-(2/5)x=4+1
-(3/2)x-(2/5)x=5 Multiply by 10 in order to eliminate the denominators 2 & 5:

-15x-4x=50
-19x=50 Divide by -19 to find x:

x=-50/19

Answer 13

ok. Thank you guys!

Answer 14

You're welcome

Answer 15

(-3/2)x-1=(2/5)x+4
-1.5x-1=0.4x+4
-1.5x-0.4x=4+1
(-1.5-0.4)x=5
-1.9x=5
x=5/1.9
x=-2.63