Question

topic: special cases and applications
progress:
the movement of the progress bar may be uneven because questions can be worth more or less (includin
solve for x.
4(3x - 1) + 7 - x = 2x + 3 + 9x
x = 7
there is no solution.
x = all real numbers
x = 1

Explanation:

Step1: Expand and simplify left side

First, distribute the 4 on the left side: \(4(3x - 1)=12x - 4\). Then combine like terms: \(12x - 4 + 7 - x=(12x - x)+(-4 + 7)=11x + 3\).

Step2: Simplify right side

Combine like terms on the right side: \(2x + 3 + 9x=(2x + 9x)+3 = 11x + 3\).

Step3: Analyze the equation

Now we have the equation \(11x + 3 = 11x + 3\). Subtract \(11x\) from both sides: \(11x - 11x + 3=11x - 11x + 3\), which simplifies to \(3 = 3\). This is a true statement for all real values of \(x\).

Answer:

\(x=\) all real numbers