Solve x=13-v+3/2.3

$$x = \frac { 13 - v + 3 } { 2.3 }$$

Solve for v

$$v=-\frac{23x}{10}+16$$

Steps for Solving Linear Equation

Add 13 and 3 to get 16.

$$x=\frac{16-v}{2.3}$$

Divide each term of 16-v by 2.3 to get \frac{16}{2.3}+\frac{-v}{2.3}.

$$x=\frac{16}{2.3}+\frac{-v}{2.3}$$

Expand \frac{16}{2.3} by multiplying both numerator and the denominator by 10.

$$x=\frac{160}{23}+\frac{-v}{2.3}$$

Divide -v by 2.3 to get -\frac{10}{23}v.

$$x=\frac{160}{23}-\frac{10}{23}v$$

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

$$\frac{160}{23}-\frac{10}{23}v=x$$

Subtract \frac{160}{23} from both sides.

$$-\frac{10}{23}v=x-\frac{160}{23}$$

Divide both sides of the equation by -\frac{10}{23}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{10}{23}v}{-\frac{10}{23}}=\frac{x-\frac{160}{23}}{-\frac{10}{23}}$$

Dividing by -\frac{10}{23} undoes the multiplication by -\frac{10}{23}.

$$v=\frac{x-\frac{160}{23}}{-\frac{10}{23}}$$

Divide x-\frac{160}{23} by -\frac{10}{23} by multiplying x-\frac{160}{23} by the reciprocal of -\frac{10}{23}.

$$v=-\frac{23x}{10}+16$$

Solve for x

$$x=\frac{160-10v}{23}$$

Solution Steps

Add 13 and 3 to get 16.

$$x=\frac{16-v}{2.3}$$

Divide each term of 16-v by 2.3 to get \frac{16}{2.3}+\frac{-v}{2.3}.

$$x=\frac{16}{2.3}+\frac{-v}{2.3}$$

Expand \frac{16}{2.3} by multiplying both numerator and the denominator by 10.

$$x=\frac{160}{23}+\frac{-v}{2.3}$$

Divide -v by 2.3 to get -\frac{10}{23}v.

$$x=\frac{160}{23}-\frac{10}{23}v$$