Question

solve for x.
\\(\frac{3x + 2}{2} = -2\\)
simplify your answer as much as possible.
\\(x = \square\\)

Explanation:

Step1: Eliminate the denominator

Multiply both sides of the equation $\frac{3x + 2}{2}=-2$ by 2 to get rid of the denominator. So we have $2\times\frac{3x + 2}{2}=2\times(-2)$, which simplifies to $3x + 2=-4$.

Step2: Isolate the term with x

Subtract 2 from both sides of the equation $3x + 2=-4$. That is $3x+2 - 2=-4 - 2$, so $3x=-6$.

Step3: Solve for x

Divide both sides of the equation $3x=-6$ by 3. We get $\frac{3x}{3}=\frac{-6}{3}$, which simplifies to $x = - 2$.

Answer:

$x=-2$