x/2x+1=4/3?

Question

what is the value of x in the equation

Answer 1

proportional Problem

x / 2x + 1 = 4 / 3

The means are 4(2x + 1)

The extremes are3(x)

4(2x + 1) = 3(x)

8x + 4 = 3x

8x + 4 - 3x = 3x - 3x

5x + 4 = 0

5x + 4 - 4 = 0 - 4

5x = - 4

5x / 5 = - 4 / 5

x = - 4/5

- - - - - - - -s-

Answer 2

x/2x+1=4/3
cross multiplication

3x=8x+4
Simplifying
3x = 8x + 4

Reorder the terms:
3x = 4 + 8x

Solving
3x = 4 + 8x

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
3x + -8x = 4 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-5x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5x = 4 + 0
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying

Answer 3

x over 2x+1= 4 over 3
Crossing:
3x = 4(2x + 1)
3x = 8x + 4
3x - 8x = 4
-5x = 4
x = -4/5
Solution: {x belongs to R | x = -4/5}
:>: