Solve 5/9=-8x+5

$$\frac{ 5 }{ 9 } =-8x+5$$

Solve for x

$$x=\frac{5}{9}\approx 0.555555556$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$-8x+5=\frac{5}{9}$$

Subtract 5 from both sides.

$$-8x=\frac{5}{9}-5$$

Convert 5 to fraction \frac{45}{9}.

$$-8x=\frac{5}{9}-\frac{45}{9}$$

Since \frac{5}{9} and \frac{45}{9} have the same denominator, subtract them by subtracting their numerators.

$$-8x=\frac{5-45}{9}$$

Subtract 45 from 5 to get -40.

$$-8x=-\frac{40}{9}$$

Divide both sides by -8.

$$x=\frac{-\frac{40}{9}}{-8}$$

Express \frac{-\frac{40}{9}}{-8} as a single fraction.

$$x=\frac{-40}{9\left(-8\right)}$$

Multiply 9 and -8 to get -72.

$$x=\frac{-40}{-72}$$

Reduce the fraction \frac{-40}{-72} to lowest terms by extracting and canceling out -8.

$$x=\frac{5}{9}$$