Let's solve the equation step by step:
Given equation:
\[ 9.14x - 9.87 - 2.74x = 9.7 \]
Step 1: Combine like terms (the \(x\) terms).
\[ (9.14 - 2.74)x - 9.87 = 9.7 \] \[ 6.4x - 9.87 = 9.7 \]
Step 2: Add \(9.87\) to both sides of the equation.
\[ 6.4x = 9.7 + 9.87 \] \[ 6.4x = 19.57 \]
Step 3: Divide both sides by \(6.4\) to isolate \(x\).
\[ x = \frac{19.57}{6.4} \]
Calculating the right side:
\[ x \approx 3.055 \]
So, the solution to the equation is:
\[ x \approx 3.055 \]