Solve 3-6x+4=2/3

$$3-6x+4= \frac{ 2 }{ 3 }$$

Solve for x

$$x = \frac{19}{18} = 1\frac{1}{18} \approx 1.055555556$$

Steps for Solving Linear Equation

Add 3 and 4 to get 7.

$$7-6x=\frac{2}{3}$$

Subtract 7 from both sides.

$$-6x=\frac{2}{3}-7$$

Convert 7 to fraction \frac{21}{3}.

$$-6x=\frac{2}{3}-\frac{21}{3}$$

Since \frac{2}{3} and \frac{21}{3} have the same denominator, subtract them by subtracting their numerators.

$$-6x=\frac{2-21}{3}$$

Subtract 21 from 2 to get -19.

$$-6x=-\frac{19}{3}$$

Divide both sides by -6.

$$x=\frac{-\frac{19}{3}}{-6}$$

Express \frac{-\frac{19}{3}}{-6} as a single fraction.

$$x=\frac{-19}{3\left(-6\right)}$$

Multiply 3 and -6 to get -18.

$$x=\frac{-19}{-18}$$

Fraction \frac{-19}{-18} can be simplified to \frac{19}{18} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{19}{18}$$