Solve 1/3x+2=4

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

Solve for x

$$x=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x.

$$1+3x\times 2=12x$$

Multiply 3 and 2 to get 6.

$$1+6x=12x$$

Subtract 12x from both sides.

$$1+6x-12x=0$$

Combine 6x and -12x to get -6x.

$$1-6x=0$$

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$-6x=-1$$

Divide both sides by -6.

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

Fraction \frac{-1}{-6} can be simplified to \frac{1}{6} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{6}$$