Solve 4x+2=3/9

$$4x+2 = \frac{ 3 }{ 9 }$$

Solve for x

$$x=-\frac{5}{12}\approx -0.416666667$$

Steps for Solving Linear Equation

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$4x+2=\frac{1}{3}$$

Subtract 2 from both sides.

$$4x=\frac{1}{3}-2$$

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

$$4x=\frac{1}{3}-\frac{6}{3}$$

Since \frac{1}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$4x=\frac{1-6}{3}$$

Subtract 6 from 1 to get -5.

$$4x=-\frac{5}{3}$$

Divide both sides by 4.

$$x=\frac{-\frac{5}{3}}{4}$$

Express \frac{-\frac{5}{3}}{4} as a single fraction.

$$x=\frac{-5}{3\times 4}$$

Multiply 3 and 4 to get 12.

$$x=\frac{-5}{12}$$

Fraction \frac{-5}{12} can be rewritten as -\frac{5}{12} by extracting the negative sign.

$$x=-\frac{5}{12}$$