Question

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

Answer 1

Answer:

x=-6

Step-by-step explanation:

You are given the equation

$-\dfrac{1}{2}(3x-4)=11$

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:

$x=-6$

Answer 2

Answer:

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

Step-by-step explanation:

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