Let's solve the equation step by step:
Given the linear equation:
[tex]\[ 3 + 2x = -11 \][/tex]
1. Isolate the term with the variable:
First, we need to move the constant term from the left side of the equation to the right side. This is done by subtracting 3 from both sides of the equation.
[tex]\[ 3 + 2x - 3 = -11 - 3 \][/tex]
[tex]\[ 2x = -14 \][/tex]
2. Solve for the variable:
Next, we need to isolate [tex]\(x\)[/tex]. To do this, divide both sides of the equation by the coefficient of [tex]\(x\)[/tex], which is 2.
[tex]\[ x = \frac{-14}{2} \][/tex]
3. Simplify:
Finally, we simplify the fraction to find the value of [tex]\(x\)[/tex].
[tex]\[ x = -7 \][/tex]
So, the solution to the equation [tex]\( 3 + 2x = -11 \)[/tex] is:
[tex]\[ x = -7 \][/tex]
