Certainly! Let's solve the equation [tex]\(3t + 4 = 12 + 3t\)[/tex] step by step.
1. Start with the original equation:
[tex]\[
3t + 4 = 12 + 3t
\][/tex]
2. Subtract [tex]\(3t\)[/tex] from both sides of the equation to help isolate the variable [tex]\(t\)[/tex]:
[tex]\[
3t + 4 - 3t = 12 + 3t - 3t
\][/tex]
3. Simplify both sides:
[tex]\[
4 = 12
\][/tex]
4. Analyze the resulting equation:
The simplified equation, [tex]\(4 = 12\)[/tex], is clearly a contradiction. This tells us that the original equation has no solution because it results in a statement that is never true.
Therefore, the equation [tex]\(3t + 4 = 12 + 3t\)[/tex] has no solution.
