Solve 1066*(9-2x)=54

$$1066 \cdot ( 9 - 2 x ) = 54$$

Solve for x

$$x = \frac{2385}{533} = 4\frac{253}{533} \approx 4.47467167$$

Steps for Solving Linear Equation

Divide both sides by 1066.

$$9-2x=\frac{54}{1066}$$

Reduce the fraction \frac{54}{1066} to lowest terms by extracting and canceling out 2.

$$9-2x=\frac{27}{533}$$

Subtract 9 from both sides.

$$-2x=\frac{27}{533}-9$$

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

$$-2x=\frac{27}{533}-\frac{4797}{533}$$

Since \frac{27}{533} and \frac{4797}{533} have the same denominator, subtract them by subtracting their numerators.

$$-2x=\frac{27-4797}{533}$$

Subtract 4797 from 27 to get -4770.

$$-2x=-\frac{4770}{533}$$

Divide both sides by -2.

$$x=\frac{-\frac{4770}{533}}{-2}$$

Express \frac{-\frac{4770}{533}}{-2} as a single fraction.

$$x=\frac{-4770}{533\left(-2\right)}$$

Multiply 533 and -2 to get -1066.

$$x=\frac{-4770}{-1066}$$

Reduce the fraction \frac{-4770}{-1066} to lowest terms by extracting and canceling out -2.

$$x=\frac{2385}{533}$$