To solve for \(x\) in the given equations, we need to set them equal to each other and solve for \(x\):
\[29x + 4 = 31x - 4\]
First, let's simplify the equation by moving all terms involving \(x\) to one side:
\[29x + 4 = 31x - 4\]
Subtract \(29x\) from both sides:
\[4 = 2x - 4\]
Next, add 4 to both sides:
\[8 = 2x\]
Divide by 2 on both sides to solve for \(x\):
\[x = 4\]
Therefore, the solution for \(x\) in the given equations is \(x = 4\).