Question

Value of x for 12(x-2)+3x=1/2(x+6)+2​

Answer 1

The value of x = 2

Explanation:

Given the equation

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

• Expand 12(x-2) = 12x - 24

• Expand 1/2(x+6) = 1/2x + 3

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