Solve -12u+13=8w-3

$$- 12 u + 13 = 8 w - 3$$

Solve for u

$$u=\frac{4-2w}{3}$$

Steps for Solving Linear Equation

Subtract 13 from both sides.

$$-12u=8w-3-13$$

Subtract 13 from -3 to get -16.

$$-12u=8w-16$$

Divide both sides by -12.

$$\frac{-12u}{-12}=\frac{8w-16}{-12}$$

Dividing by -12 undoes the multiplication by -12.

$$u=\frac{8w-16}{-12}$$

Divide -16+8w by -12.

$$u=\frac{4-2w}{3}$$

Solve for w

$$w=-\frac{3u}{2}+2$$

Steps for Solving Linear Equation

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

$$8w-3=-12u+13$$

Add 3 to both sides.

$$8w=-12u+13+3$$

Add 13 and 3 to get 16.

$$8w=-12u+16$$

The equation is in standard form.

$$8w=16-12u$$

Divide both sides by 8.

$$\frac{8w}{8}=\frac{16-12u}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$w=\frac{16-12u}{8}$$

Divide -12u+16 by 8.

$$w=-\frac{3u}{2}+2$$