Solve 6(9-5x)=4

$$6 ( 9 - 5 x ) = 4$$

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Divide both sides by 6.

$$9-5x=\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$9-5x=\frac{2}{3}$$

Subtract 9 from both sides.

$$-5x=\frac{2}{3}-9$$

Convert 9 to fraction \frac{27}{3}.

$$-5x=\frac{2}{3}-\frac{27}{3}$$

Since \frac{2}{3} and \frac{27}{3} have the same denominator, subtract them by subtracting their numerators.

$$-5x=\frac{2-27}{3}$$

Subtract 27 from 2 to get -25.

$$-5x=-\frac{25}{3}$$

Divide both sides by -5.

$$x=\frac{-\frac{25}{3}}{-5}$$

Express \frac{-\frac{25}{3}}{-5} as a single fraction.

$$x=\frac{-25}{3\left(-5\right)}$$

Multiply 3 and -5 to get -15.

$$x=\frac{-25}{-15}$$

Reduce the fraction \frac{-25}{-15} to lowest terms by extracting and canceling out -5.

$$x=\frac{5}{3}$$