Solve x/2+3/4-2/3x=1/6

$$\frac { x } { 2 } + \frac { 3 } { 4 } - \frac { 2 } { 3 } x = \frac { 1 } { 6 }$$

Solve for x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 2,4,3,6.

$$6x+9-8x=2$$

Combine 6x and -8x to get -2x.

$$-2x+9=2$$

Subtract 9 from both sides.

$$-2x=2-9$$

Subtract 9 from 2 to get -7.

$$-2x=-7$$

Divide both sides by -2.

$$x=\frac{-7}{-2}$$

Fraction \frac{-7}{-2} can be simplified to \frac{7}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{2}$$