How do you solve... 2x+3/5=x-4/2

Question

anonymous · Answer

for x?

anonymous · Answer

x = - 13/5

13 over 5 like a fraction

anonymous · Answer

$$\frac{ 2x+3 }{ 5 }=\frac{ x-4 }{ 2}$$

anonymous · Answer

I would assume solve for x

anonymous · Answer

2x+3/5=x-4/2

2x- x = -4/2 - 3/5
x = -8/10 - 6/10

u can do the rest...

anonymous · Answer

sorry that format is heaps diff u should of posted to begin with

anonymous · Answer

just rearrange to isolate x, get like terms on one side

anonymous · Answer

sorry... didnt know how to do that format before

mathstudent55 · Answer

You have a fraction equal to a fraction. Cross multiply them just as if you were solving a proportion.

anonymous · Answer

2x +3/5 =x -4/5
2x-x= -(4/5) - (3/5)
x =-(26/10)
x=-(13/5)

mathstudent55 · Answer

2(2x + 3) = 5(x - 4)
Distribute the 2 and the 4, collect like terms, and solve for x.

anonymous · Answer

So x would be 26?

anonymous · Answer

verify:
2(-13/5) + (3/5) =(-13/5) - (4/2) =-23/5

mathstudent55 · Answer

2(2x + 3) = 5(x - 4)
4x + 6 = 5x - 20
26 = x
Correct.

anonymous · Answer

Thank you @mathstudent55

anonymous · Answer

2x + 3 = (x - 4 / 2) * 5
2x = (x - 4 / 2) * 5 - 3
x = ((x - 4 / 2) * 5 - 3)/2

simplify here

mathstudent55 · Answer

@sss1980 Read the first response by the original poster. The problem is not what the original post means.

mathstudent55 · Answer

@melb94 You're welcome.