Solve x=0.4n+6.6/24

$$x = \frac { 0.4 n + 6.6 } { 24 }$$

Solve for n

$$n=60x-16.5$$

Steps for Solving Linear Equation

Divide each term of 0.4n+6.6 by 24 to get \frac{1}{60}n+0.275.

$$x=\frac{1}{60}n+0.275$$

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

$$\frac{1}{60}n+0.275=x$$

Subtract 0.275 from both sides.

$$\frac{1}{60}n=x-0.275$$

Multiply both sides by 60.

$$\frac{\frac{1}{60}n}{\frac{1}{60}}=\frac{x-0.275}{\frac{1}{60}}$$

Dividing by \frac{1}{60} undoes the multiplication by \frac{1}{60}.

$$n=\frac{x-0.275}{\frac{1}{60}}$$

Divide x-0.275 by \frac{1}{60} by multiplying x-0.275 by the reciprocal of \frac{1}{60}.

$$n=60x-16.5$$

Solve for x

$$x=\frac{n}{60}+0.275$$

Solution Steps

Divide each term of 0.4n+6.6 by 24 to get \frac{1}{60}n+0.275.

$$x=\frac{1}{60}n+0.275$$