Solve x/6+5/2-x/4=x+2

$$\frac { x } { 6 } + \frac { 5 } { 2 } - \frac { x } { 4 } = x + 2$$

Solve for x

$$x=\frac{6}{13}\approx 0.461538462$$

Steps for Solving Linear Equation

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

$$2x+30-3x=12x+24$$

Combine 2x and -3x to get -x.

$$-x+30=12x+24$$

Subtract 12x from both sides.

$$-x+30-12x=24$$

Combine -x and -12x to get -13x.

$$-13x+30=24$$

Subtract 30 from both sides.

$$-13x=24-30$$

Subtract 30 from 24 to get -6.

$$-13x=-6$$

Divide both sides by -13.

$$x=\frac{-6}{-13}$$

Fraction \frac{-6}{-13} can be simplified to \frac{6}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{6}{13}$$