3x + 8 = 4x - x + 7
Understand the Problem
The question is asking us to solve the equation provided: 3x + 8 = 4x - x + 7. We will simplify and isolate x.
Answer
No solutions: $8 \neq 7$.
Answer for screen readers
There are no solutions for the equation.
Steps to Solve
- Combine like terms on the right side of the equation
Start with the equation: $$ 3x + 8 = 4x - x + 7 $$ We can simplify the right side. Since $4x - x = 3x$, it becomes: $$ 3x + 8 = 3x + 7 $$
- Isolate the variable
Now subtract $3x$ from both sides: $$ 3x + 8 - 3x = 3x + 7 - 3x $$ This simplifies to: $$ 8 = 7 $$
- Analyze the result
Since $8 = 7$ is a false statement, this indicates that there are no solutions for the equation.
There are no solutions for the equation.
More Information
The equation simplifies to a contradiction, which means that there are no values of $x$ that can satisfy the equation. This often indicates that the lines represented by the two sides of the equation are parallel.
Tips
- Mistakenly assuming that a false statement like $8 = 7$ still leads to a solution. Always check the simplifications thoroughly.
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