Solve x+2m-3=3x+7

$$x + 2 m - 3 = 3 x + 7$$

Solve for m

$$m=x+5$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$2m-3=3x+7-x$$

Combine 3x and -x to get 2x.

$$2m-3=2x+7$$

Add 3 to both sides.

$$2m=2x+7+3$$

Add 7 and 3 to get 10.

$$2m=2x+10$$

Divide both sides by 2.

$$\frac{2m}{2}=\frac{2x+10}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$m=\frac{2x+10}{2}$$

Divide 10+2x by 2.

$$m=x+5$$

Solve for x

$$x=m-5$$

Steps for Solving Linear Equation

Subtract 3x from both sides.

$$x+2m-3-3x=7$$

Combine x and -3x to get -2x.

$$-2x+2m-3=7$$

Subtract 2m from both sides.

$$-2x-3=7-2m$$

Add 3 to both sides.

$$-2x=7-2m+3$$

Add 7 and 3 to get 10.

$$-2x=10-2m$$

Divide both sides by -2.

$$\frac{-2x}{-2}=\frac{10-2m}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$x=\frac{10-2m}{-2}$$

Divide 10-2m by -2.

$$x=m-5$$