Solve x_{m}=4x12/11-1/2x4*44/121

$$x _ { m } = 4 x \frac { 12 } { 11 } - \frac { 1 } { 2 } x 4 \times \frac { 44 } { 121 }$$

Solve for x

$$x=\frac{x_{4}}{24}+\frac{11x_{m}}{48}$$

Steps for Solving Linear Equation

Multiply 4 and \frac{12}{11} to get \frac{48}{11}.

$$x_{m}=\frac{48}{11}x-\frac{1}{2}x_{4}\times \frac{44}{121}$$

Reduce the fraction \frac{44}{121} to lowest terms by extracting and canceling out 11.

$$x_{m}=\frac{48}{11}x-\frac{1}{2}x_{4}\times \frac{4}{11}$$

Multiply \frac{1}{2} and \frac{4}{11} to get \frac{2}{11}.

$$x_{m}=\frac{48}{11}x-\frac{2}{11}x_{4}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{48}{11}x-\frac{2}{11}x_{4}=x_{m}$$

Add \frac{2}{11}x_{4} to both sides.

$$\frac{48}{11}x=x_{m}+\frac{2}{11}x_{4}$$

The equation is in standard form.

$$\frac{48}{11}x=\frac{2x_{4}}{11}+x_{m}$$

Divide both sides of the equation by \frac{48}{11}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{48}{11}x}{\frac{48}{11}}=\frac{\frac{2x_{4}}{11}+x_{m}}{\frac{48}{11}}$$

Dividing by \frac{48}{11} undoes the multiplication by \frac{48}{11}.

$$x=\frac{\frac{2x_{4}}{11}+x_{m}}{\frac{48}{11}}$$

Divide x_{m}+\frac{2x_{4}}{11} by \frac{48}{11} by multiplying x_{m}+\frac{2x_{4}}{11} by the reciprocal of \frac{48}{11}.

$$x=\frac{x_{4}}{24}+\frac{11x_{m}}{48}$$

Solve for x_4

$$x_{4}=-\frac{11x_{m}}{2}+24x$$

Steps for Solving Linear Equation

Multiply 4 and \frac{12}{11} to get \frac{48}{11}.

$$x_{m}=\frac{48}{11}x-\frac{1}{2}x_{4}\times \frac{44}{121}$$

Reduce the fraction \frac{44}{121} to lowest terms by extracting and canceling out 11.

$$x_{m}=\frac{48}{11}x-\frac{1}{2}x_{4}\times \frac{4}{11}$$

Multiply \frac{1}{2} and \frac{4}{11} to get \frac{2}{11}.

$$x_{m}=\frac{48}{11}x-\frac{2}{11}x_{4}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{48}{11}x-\frac{2}{11}x_{4}=x_{m}$$

Subtract \frac{48}{11}x from both sides.

$$-\frac{2}{11}x_{4}=x_{m}-\frac{48}{11}x$$

The equation is in standard form.

$$-\frac{2}{11}x_{4}=-\frac{48x}{11}+x_{m}$$

Divide both sides of the equation by -\frac{2}{11}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{2}{11}x_{4}}{-\frac{2}{11}}=\frac{-\frac{48x}{11}+x_{m}}{-\frac{2}{11}}$$

Dividing by -\frac{2}{11} undoes the multiplication by -\frac{2}{11}.

$$x_{4}=\frac{-\frac{48x}{11}+x_{m}}{-\frac{2}{11}}$$

Divide x_{m}-\frac{48x}{11} by -\frac{2}{11} by multiplying x_{m}-\frac{48x}{11} by the reciprocal of -\frac{2}{11}.

$$x_{4}=-\frac{11x_{m}}{2}+24x$$