Solve 2x/3+9x+2/6=x/2

$$\frac{ 2x }{ 3 } + \frac{ 9x+2 }{ 6 } = \frac{ x }{ 2 }$$

Solve for x

$$x=-\frac{1}{5}=-0.2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,6,2.

$$2\times 2x+9x+2=3x$$

Multiply 2 and 2 to get 4.

$$4x+9x+2=3x$$

Combine 4x and 9x to get 13x.

$$13x+2=3x$$

Subtract 3x from both sides.

$$13x+2-3x=0$$

Combine 13x and -3x to get 10x.

$$10x+2=0$$

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$10x=-2$$

Divide both sides by 10.

$$x=\frac{-2}{10}$$

Reduce the fraction \frac{-2}{10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{1}{5}$$