Solve 6(2k-3m)=4k-2m

$$6 ( 2 k - 3 m ) = 4 k - 2 m$$

Solve for k

$$k=2m$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 2k-3m.

$$12k-18m=4k-2m$$

Subtract 4k from both sides.

$$12k-18m-4k=-2m$$

Combine 12k and -4k to get 8k.

$$8k-18m=-2m$$

Add 18m to both sides.

$$8k=-2m+18m$$

Combine -2m and 18m to get 16m.

$$8k=16m$$

Divide both sides by 8.

$$\frac{8k}{8}=\frac{16m}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$k=\frac{16m}{8}$$

Divide 16m by 8.

$$k=2m$$

Solve for m

$$m=\frac{k}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 2k-3m.

$$12k-18m=4k-2m$$

Add 2m to both sides.

$$12k-18m+2m=4k$$

Combine -18m and 2m to get -16m.

$$12k-16m=4k$$

Subtract 12k from both sides.

$$-16m=4k-12k$$

Combine 4k and -12k to get -8k.

$$-16m=-8k$$

Divide both sides by -16.

$$\frac{-16m}{-16}=-\frac{8k}{-16}$$

Dividing by -16 undoes the multiplication by -16.

$$m=-\frac{8k}{-16}$$

Divide -8k by -16.

$$m=\frac{k}{2}$$