Solve 5(x+2m)=4-m

$$5 ( x + 2 m ) = 4 - m$$

Solve for m

$$m=\frac{4-5x}{11}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x+2m.

$$5x+10m=4-m$$

Add m to both sides.

$$5x+10m+m=4$$

Combine 10m and m to get 11m.

$$5x+11m=4$$

Subtract 5x from both sides.

$$11m=4-5x$$

Divide both sides by 11.

$$\frac{11m}{11}=\frac{4-5x}{11}$$

Dividing by 11 undoes the multiplication by 11.

$$m=\frac{4-5x}{11}$$

Solve for x

$$x=\frac{4-11m}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x+2m.

$$5x+10m=4-m$$

Subtract 10m from both sides.

$$5x=4-m-10m$$

Combine -m and -10m to get -11m.

$$5x=4-11m$$

Divide both sides by 5.

$$\frac{5x}{5}=\frac{4-11m}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$x=\frac{4-11m}{5}$$