Solve Matrix

$$\frac { 2 x } { 3 } + \frac { x } { 4 } = 1 - \frac { x } { 6 } + 2 x \quad \left. \begin{array} { l l } { } & { \text { LEAV } } \\ { } & { \text { FRAC } } \end{array} \right.$$

Solve for x

$$x = -\frac{12}{11} = -1\frac{1}{11} \approx -1.090909091$$

Steps for Solving Linear Equation

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

$$4\times 2x+3x=12-2x+24x$$

Multiply 4 and 2 to get 8.

$$8x+3x=12-2x+24x$$

Combine 8x and 3x to get 11x.

$$11x=12-2x+24x$$

Combine -2x and 24x to get 22x.

$$11x=12+22x$$

Subtract 22x from both sides.

$$11x-22x=12$$

Combine 11x and -22x to get -11x.

$$-11x=12$$

Divide both sides by -11.

$$x=\frac{12}{-11}$$

Fraction \frac{12}{-11} can be rewritten as -\frac{12}{11} by extracting the negative sign.

$$x=-\frac{12}{11}$$