Value of x for 12(x-2)+3x=1/2(x+6)+2

Question

asked Nov 28, 2022 181k views

1 Answer

Mike Buhot · Answer 1 · 2022-12-05T05:03:27+0000

Answer:

The value of x = 2

Explanation:

Given the equation

$12\left(x-2\right)+3x=(1)/(2)\left(x+6\right)+2$

so the equation becomes

12x-24+3x=(1)/(2)x+3+2

simplifying

15x-24=(1)/(2)x+5

15x=(1)/(2)x+29

multiplying both sides by 2

30x = x + 58

subtracting x from both sides

30x - x = 58 - x

29x = 58

divide both sides by 29

(29x)/(29)=(58)/(29)

simplifying

x = 2

Therefore, the value of x = 2