To solve the equation
[tex]\[
\frac{-2}{2x + 4} = 1
\][/tex]
we need to isolate the variable [tex]\( x \)[/tex]. Here are the steps to do it:
1. Multiply both sides by [tex]\( 2x + 4 \)[/tex] to eliminate the fraction:
[tex]\[
\frac{-2}{2x + 4} \cdot (2x + 4) = 1 \cdot (2x + 4)
\][/tex]
This simplifies to:
[tex]\[
-2 = 2x + 4
\][/tex]
2. Isolate [tex]\( x \)[/tex] by isolating the term with [tex]\( x \)[/tex]:
First, subtract 4 from both sides:
[tex]\[
-2 - 4 = 2x
\][/tex]
This simplifies to:
[tex]\[
-6 = 2x
\][/tex]
3. Solve for [tex]\( x \)[/tex] by dividing both sides by 2:
[tex]\[
\frac{-6}{2} = \frac{2x}{2}
\][/tex]
This simplifies to:
[tex]\[
x = -3
\][/tex]
So, the solution to the equation
[tex]\[
\frac{-2}{2x + 4} = 1
\][/tex]
is
[tex]\[
x = -3
\][/tex]
