Question

(5x-2)/2=2x+9 solve the following

Answer 1

x=20

Explanation:

(5x-2)/2 = 2x + 9

5x-2=2*(2x+9)

5x-2=4x+18

5x-4x=18+2

x=20

Answer 2

x = 20

Explanation:

Given equation:

`((5x-2))/(2)=2x+9`

Multiply both sides of the equation by 2:

`\implies 2 \cdot ((5x-2))/(2)=2 \cdot (2x+9)`

`\implies 5x-2=4x+18`

Subtract 4x from both sides of the equation:

`\implies 5x-2-4x=4x+18-4x`

`\implies x-2=18`

Add 2 to both sides of the equation:

`\implies x-2+2=18+2`

`\implies x=20`