Question

What is the value of x in the equation 5(4x-10)+10x=4(2x-3)+2(x-4) ?

-7/4
-1/4
3/20
3/2

Answer 1

5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)
20x - 50 + 10x = 8x - 12 + 2x - 8
30x - 50 = 10x - 20
30x - 10x = -20 + 50
20x = 30
x = 3/2 <==

Answer 2

`(3)/(2)`

Explanation:

Here, the given expression is,

`5(4x-10)+10x=4(2x-3)+2(x-4)`

By distributive property,

`20x - 50 + 10x = 8x - 12 + 2x - 8`

By combining like terms,

`30x -50=10x-20`

Adding 50 on both sides,

`30x=10x-20+50`

`30x = 10x + 30`

Subtracting 10x on both sides,

`20x = 30`

Divide both sides by 20,.

`x=(3)/(2)`

Hence, LAST option is correct.