Solve 11/6x+2=3x

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

Solve for x

$$x = \frac{12}{11} = 1\frac{1}{11} \approx 1.090909091$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$\left(1\times 6+1\right)x+12=18x$$

Multiply 1 and 6 to get 6.

$$\left(6+1\right)x+12=18x$$

Add 6 and 1 to get 7.

$$7x+12=18x$$

Subtract 18x from both sides.

$$7x+12-18x=0$$

Combine 7x and -18x to get -11x.

$$-11x+12=0$$

Subtract 12 from both sides. Anything subtracted from zero gives its negation.

$$-11x=-12$$

Divide both sides by -11.

$$x=\frac{-12}{-11}$$

Fraction \frac{-12}{-11} can be simplified to \frac{12}{11} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{12}{11}$$