Solve 106.6*(9-2x)=54

$$106.6 \cdot ( 9 - 2 x ) = 54$$

Solve for x

$$x = \frac{4527}{1066} = 4\frac{263}{1066} \approx 4.246716698$$

Steps for Solving Linear Equation

Divide both sides by 106.6.

$$9-2x=\frac{54}{106.6}$$

Expand \frac{54}{106.6} by multiplying both numerator and the denominator by 10.

$$9-2x=\frac{540}{1066}$$

Reduce the fraction \frac{540}{1066} to lowest terms by extracting and canceling out 2.

$$9-2x=\frac{270}{533}$$

Subtract 9 from both sides.

$$-2x=\frac{270}{533}-9$$

Convert 9 to fraction \frac{4797}{533}.

$$-2x=\frac{270}{533}-\frac{4797}{533}$$

Since \frac{270}{533} and \frac{4797}{533} have the same denominator, subtract them by subtracting their numerators.

$$-2x=\frac{270-4797}{533}$$

Subtract 4797 from 270 to get -4527.

$$-2x=-\frac{4527}{533}$$

Divide both sides by -2.

$$x=\frac{-\frac{4527}{533}}{-2}$$

Express \frac{-\frac{4527}{533}}{-2} as a single fraction.

$$x=\frac{-4527}{533\left(-2\right)}$$

Multiply 533 and -2 to get -1066.

$$x=\frac{-4527}{-1066}$$

Fraction \frac{-4527}{-1066} can be simplified to \frac{4527}{1066} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{4527}{1066}$$