Solve d=6(c-x)/5

$$d = \frac { 6 ( c - x ) } { 5 }$$

Solve for c

$$c=\frac{5d}{6}+x$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by c-x.

$$d=\frac{6c-6x}{5}$$

Divide each term of 6c-6x by 5 to get \frac{6}{5}c-\frac{6}{5}x.

$$d=\frac{6}{5}c-\frac{6}{5}x$$

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

$$\frac{6}{5}c-\frac{6}{5}x=d$$

Add \frac{6}{5}x to both sides.

$$\frac{6}{5}c=d+\frac{6}{5}x$$

The equation is in standard form.

$$\frac{6}{5}c=\frac{6x}{5}+d$$

Divide both sides of the equation by \frac{6}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{6}{5}c}{\frac{6}{5}}=\frac{\frac{6x}{5}+d}{\frac{6}{5}}$$

Dividing by \frac{6}{5} undoes the multiplication by \frac{6}{5}.

$$c=\frac{\frac{6x}{5}+d}{\frac{6}{5}}$$

Divide d+\frac{6x}{5} by \frac{6}{5} by multiplying d+\frac{6x}{5} by the reciprocal of \frac{6}{5}.

$$c=\frac{5d}{6}+x$$

Solve for d

$$d=\frac{6\left(c-x\right)}{5}$$

Solution Steps

Use the distributive property to multiply 6 by c-x.

$$d=\frac{6c-6x}{5}$$

Divide each term of 6c-6x by 5 to get \frac{6}{5}c-\frac{6}{5}x.

$$d=\frac{6}{5}c-\frac{6}{5}x$$