1/6x+1,5=x

To solve the equation \( \frac{1}{6}x + 1.5 = x \), follow these steps:

1. Get all terms involving \(x\) on one side: \[ \frac{1}{6}x + 1.5 - x = 0 \] This can be rewritten as: \[ \frac{1}{6}x - x + 1.5 = 0 \] Combine the \(x\) terms: \[ \frac{1}{6}x - \frac{6}{6}x + 1.5 = 0 \] Which simplifies to: \[ -\frac{5}{6}x + 1.5 = 0 \]

2. Isolate the \(x\) term: \[ -\frac{5}{6}x = -1.5 \]

3. Multiply both sides by -1: \[ \frac{5}{6}x = 1.5 \]

4. Multiply both sides by \( \frac{6}{5} \) to solve for \(x\): \[ x = 1.5 \cdot \frac{6}{5} \]

5. Calculate: \[ x = \frac{9}{5} = 1.8 \]

Thus, the solution is: \[ \boxed{1.8} \]