Certainly! Let's solve for [tex]\( x \)[/tex] in the equation [tex]\( z = 4(x + 3) \)[/tex].
Step 1: Write down the given equation.
[tex]\[ z = 4(x + 3) \][/tex]
Step 2: Isolate the term involving [tex]\( x \)[/tex].
To begin solving for [tex]\( x \)[/tex], we should first remove the constant term inside the parentheses. We can do this by dividing both sides of the equation by 4.
[tex]\[ \frac{z}{4} = x + 3 \][/tex]
Step 3: Solve for [tex]\( x \)[/tex].
Next, we need to isolate [tex]\( x \)[/tex] on one side of the equation. To do this, we subtract 3 from both sides:
[tex]\[ \frac{z}{4} - 3 = x \][/tex]
Step 4: Rewrite the solution.
Now we have the expression for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{z}{4} - 3 \][/tex]
Thus, the solution for [tex]\( x \)[/tex] in terms of [tex]\( z \)[/tex] is:
[tex]\[ x = \frac{z}{4} - 3 \][/tex]
