Question

What is the value of x

Answer 1

52/3

Explanation:

Use basic Thales therom,

`(3x)/(4x)=(3x+7)/(5x-8)\\\\(3)/(4)=(3x+7)/(5x-8)\\`

Cross multiply,

3*(5x-8)=4*(3x+7)

3*5x - 3*8 = 4*3x + 4*7

15x - 24 = 12x +28

Add 24 to both sides

15x = 12x + 28 + 24

15x = 12x + 52

Subtract 12x from both sides

15x-12x =52

3x = 52

Divide both sides by 3

x = 52/3