Question

Solve the equation below for x.
-1/2(3x-4)=11

Answer 1

`\large\boxed{x=-6}`

Explanation:

`-(1)/(2)(3x-4)=11\qquad\text{multiply both sides by (-2)}\\\\(-2\!\!\!\!\1\diagup^1)\cdot\left(-(1)/(2\!\!\!\!\1\diagup_1)\right)(3x-4)=(-2)\cdot11\\\\3x-4=-22\qquad\text{add 4 to both sides}\\\\3x-4+4=-22+4\\\\3x=-18\qquad\text{divide both sides by 3}\\\\(3x)/(3)=-(18)/(3)\\\\x=-6`

Answer 2

x=-6

Explanation:

You are given the equation

`-(1)/(2)(3x-4)=11`

First, multiply it by 2 to get rid of fraction:

`-(3x-4)=22`

Now open the brackets:

`-3x+4=22`

Subtract 4 from both sides:

`-3x+4-4=22-4\\ \\-3x=18`

Multiply it by -1:

`3x=-18`

and divide by 3:

`x=-6`