Solve 3-6x-4=2/3

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

Solve for x

$$x=-\frac{5}{18}\approx -0.277777778$$

Steps for Solving Linear Equation

Subtract 4 from 3 to get -1.

$$-1-6x=\frac{2}{3}$$

Add 1 to both sides.

$$-6x=\frac{2}{3}+1$$

Convert 1 to fraction \frac{3}{3}.

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

Since \frac{2}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.

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

Add 2 and 3 to get 5.

$$-6x=\frac{5}{3}$$

Divide both sides by -6.

$$x=\frac{\frac{5}{3}}{-6}$$

Express \frac{\frac{5}{3}}{-6} as a single fraction.

$$x=\frac{5}{3\left(-6\right)}$$

Multiply 3 and -6 to get -18.

$$x=\frac{5}{-18}$$

Fraction \frac{5}{-18} can be rewritten as -\frac{5}{18} by extracting the negative sign.

$$x=-\frac{5}{18}$$