Solve Cx/4=x/3-1/2

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

Solve for C

$$C=\frac{4}{3}-\frac{2}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3,2.

$$3Cx=4x-6$$

The equation is in standard form.

$$3xC=4x-6$$

Divide both sides by 3x.

$$\frac{3xC}{3x}=\frac{4x-6}{3x}$$

Dividing by 3x undoes the multiplication by 3x.

$$C=\frac{4x-6}{3x}$$

Divide 4x-6 by 3x.

$$C=\frac{4}{3}-\frac{2}{x}$$

Solve for x

$$x=-\frac{6}{3C-4}$$

$$C\neq \frac{4}{3}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3,2.

$$3Cx=4x-6$$

Subtract 4x from both sides.

$$3Cx-4x=-6$$

Combine all terms containing x.

$$\left(3C-4\right)x=-6$$

Divide both sides by 3C-4.

$$\frac{\left(3C-4\right)x}{3C-4}=-\frac{6}{3C-4}$$

Dividing by 3C-4 undoes the multiplication by 3C-4.

$$x=-\frac{6}{3C-4}$$