To solve the equation \(3x - 7 = 4 + 6 + 4x\), we first simplify the right side:
\[ 4 + 6 = 10 \] So, the equation now becomes:
\[ 3x - 7 = 10 + 4x \]
Next, we can rearrange the equation to isolate \(x\). We start by subtracting \(4x\) from both sides:
\[ 3x - 4x - 7 = 10 \]
This simplifies to:
\[ -x - 7 = 10 \]
Next, we add 7 to both sides to solve for \(-x\):
\[ -x = 10 + 7 \]
Which simplifies to:
\[ -x = 17 \]
Finally, we multiply by \(-1\) to solve for \(x\):
\[ x = -17 \]
Since we found a unique solution for \(x\), the equation \(3x - 7 = 4 + 6 + 4x\) has:
One solution.