¼ (2x + 5) – x = ½ (5x – 2) ?

Question

Can someone show me the breakdown to solve this one? Struggling with math please, please help!!!

Answer 1

Since multiplication and division are equivalent, you handle this the same way you handle multiplying the terms if the fractions were integers.

So on the left hand side multiply 2 x 1/4 and 5 x 1/4 to get (2/4)x + 5/4 -x or (-1/2)x + 5/4. Do the same thing on the right only using 1/2.

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

You then have an equation where you can add like terms and solve for x.

9/4 = (6/2)x

(9/4)/(6/2) = x

18/24 = x

3/4=x

Answer 2

okay

multiplying LHS n RHS with 4, u have

2x + 5 - 4x= 2(5x-2)

-2x + 5 = 10x - 4

12x = 9

x = 9/12 = 3/4

basically the same way the abv person has solved

Answer 3

multiply the whole equation by 4:

(2x+5) - 4x = 2(5x-2)

-2x+5 = 10x-4

12x = 9

x = 9/12 = 3/4

Answer 4

i believe its x=1/2

Answer 5

¼ (2x + 5) – x = ½ (5x – 2) is the question. Multiply whole of the equation by 4 on both sides. Thereby you get:

(2x + 5) - 4x = 2(5x - 2),

=>2x + 5 - 4x = 10x - 4,

=> -2x + 5 = 10x - 4,

=> - 2x - 10x = - 5 - 4,

=> -12x = -9, So x = -(9)/-(12),

=>(9/12), which equals: ¾.

So x = ¾.

Hope that helped........

Answer 6

(2x + 5) - 4x = 2(5x - 2)

2x + 5 - 4x = 10x - 4

5 - 2x = 10x - 4

9 = 12x

x = 9/12

x = 3/4