Of course! Let's solve the equation [tex]\(3x + 3 = x + 4\)[/tex] step-by-step.
1. First, get all the [tex]\(x\)[/tex] terms on one side of the equation:
[tex]\[
3x + 3 = x + 4
\][/tex]
2. Subtract [tex]\(x\)[/tex] from both sides to isolate the [tex]\(x\)[/tex] terms on one side:
[tex]\[
3x - x + 3 = x - x + 4
\][/tex]
Simplify:
[tex]\[
2x + 3 = 4
\][/tex]
3. Next, get the constant term by itself on the other side:
[tex]\[
2x + 3 - 3 = 4 - 3
\][/tex]
Simplify:
[tex]\[
2x = 1
\][/tex]
4. Divide both sides by 2 to solve for [tex]\(x\)[/tex]:
[tex]\[
x = \frac{1}{2}
\][/tex]
So, the solution to the equation [tex]\(3x + 3 = x + 4\)[/tex] is:
[tex]\[
x = \frac{1}{2} \text{ or } x = 0.5
\][/tex]
Thus, [tex]\( x = 0.5 \)[/tex] is the correct answer.
