2x-4/10x+2=3\5 what does x equal

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the numerical equation:

2x-4/10x+2=3\5

Determine the value of x.

Solution:

In order to determine the value of x, we can start first by cross multiplying, so that we can cancel the denominator.

2x-4/10x+2=3\5

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

10x - 20 = 30x + 6

Transpose  10x and 6 to the opposite sides of their equation, hence in tranposing a number, it must be taken to note that the sign changes.

30x - 10x = -20 -6

20x = -26

Divide both sides by 20 in order to find the value of x.

x = -26/20

x = -13/10

Final answer:

x = -13/10