Solve 2x/3-3x/4=1/3-2/4-frac{12}{11}

$$\frac{ 2x }{ 3 } - \frac{ 3x }{ 4 } = \frac{ 1 }{ 3 } - \frac{ 2 }{ 4 } - \frac{ 12 }{ 11 }$$

Solve for x

$$x = \frac{166}{11} = 15\frac{1}{11} \approx 15.090909091$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 132, the least common multiple of 3,4,11.

$$44\times 2x-33\times 3x=44-33\times 2-144$$

Multiply 44 and 2 to get 88.

$$88x-33\times 3x=44-33\times 2-144$$

Multiply -33 and 3 to get -99.

$$88x-99x=44-33\times 2-144$$

Combine 88x and -99x to get -11x.

$$-11x=44-33\times 2-144$$

Multiply -33 and 2 to get -66.

$$-11x=44-66-144$$

Subtract 66 from 44 to get -22.

$$-11x=-22-144$$

Subtract 144 from -22 to get -166.

$$-11x=-166$$

Divide both sides by -11.

$$x=\frac{-166}{-11}$$

Fraction \frac{-166}{-11} can be simplified to \frac{166}{11} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{166}{11}$$