x/2=3x/4+5?

Answer 1

x/2=3x/4+5
multimply both sides by 2
x=6x/4+10
subtract 10 from both sides
x-10=6x/4
multiply both sides by 4
4x-40=6x
x=-20

check the answer
-20/2=3(-20)/4+5
-10=-60/4+5
-10=-15+5
-10=-10

X=-20

X equals negative twenty!

Answer 2

First, find the LCD of the right side. One easy way to do this is to think that 5 is 20/4. Then you can combine like terms of the right as,
(3x+20)/4

But the left side is x/2 so you can think of this as 2x/4 also because you need a common denominator.

so 2x/4 = (3x +20)/4.

Cancel 4 ( Convince yourself you can do this, clue: cross x and cancel) Then, you are left with 2x = 3x + 20

Rearrange, combine 3x and 2x, subtract 5 and you get

-20 = 3x-2x or x =-20

Answer 3

x/2=3x/4+5
lcf(2, 4) = 4
2x = 3x + 20
2x - 3x = 20
-x = 20
x = -20
Solution: {x elements of R | x = -20}
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Answer 4

pretty sure the answer is x=5