Solve 3(2-3x)=4

$$3 ( 2 - 3 x ) = 4$$

Solve for x

$$x=\frac{2}{9}\approx 0.222222222$$

Steps for Solving Linear Equation

Divide both sides by 3.

$$2-3x=\frac{4}{3}$$

Subtract 2 from both sides.

$$-3x=\frac{4}{3}-2$$

Convert 2 to fraction \frac{6}{3}.

$$-3x=\frac{4}{3}-\frac{6}{3}$$

Since \frac{4}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$-3x=\frac{4-6}{3}$$

Subtract 6 from 4 to get -2.

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

Divide both sides by -3.

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

Express \frac{-\frac{2}{3}}{-3} as a single fraction.

$$x=\frac{-2}{3\left(-3\right)}$$

Multiply 3 and -3 to get -9.

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

Fraction \frac{-2}{-9} can be simplified to \frac{2}{9} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{2}{9}$$