Solve x/11-x/2=3x/4-5/22

$$\frac { x } { 11 } - \frac { x } { 2 } = \frac { 3 x } { 4 } - \frac { 5 } { 22 }$$

Solve for x

$$x=\frac{10}{51}\approx 0.196078431$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 44, the least common multiple of 11,2,4,22.

$$4x-22x=11\times 3x-10$$

Combine 4x and -22x to get -18x.

$$-18x=11\times 3x-10$$

Multiply 11 and 3 to get 33.

$$-18x=33x-10$$

Subtract 33x from both sides.

$$-18x-33x=-10$$

Combine -18x and -33x to get -51x.

$$-51x=-10$$

Divide both sides by -51.

$$x=\frac{-10}{-51}$$

Fraction \frac{-10}{-51} can be simplified to \frac{10}{51} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{10}{51}$$