Solve 4.6x-8=-5+n

$$4.6 x - 8 = - 5 + n$$

Solve for n

$$n=\frac{23x}{5}-3$$

Solution Steps

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

$$-5+n=4.6x-8$$

Add 5 to both sides.

$$n=4.6x-8+5$$

Add -8 and 5 to get -3.

$$n=4.6x-3$$

Solve for x

$$x=\frac{5n+15}{23}$$

Steps for Solving Linear Equation

Add 8 to both sides.

$$4.6x=-5+n+8$$

Add -5 and 8 to get 3.

$$4.6x=3+n$$

The equation is in standard form.

$$4.6x=n+3$$

Divide both sides of the equation by 4.6, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{4.6x}{4.6}=\frac{n+3}{4.6}$$

Dividing by 4.6 undoes the multiplication by 4.6.

$$x=\frac{n+3}{4.6}$$

Divide 3+n by 4.6 by multiplying 3+n by the reciprocal of 4.6.

$$x=\frac{5n+15}{23}$$