Solve 2x+1=x-h

$$2 x + 1 = x - h$$

Solve for h

$$h=-x-1$$

Steps for Solving Linear Equation

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

$$x-h=2x+1$$

Subtract x from both sides.

$$-h=2x+1-x$$

Combine 2x and -x to get x.

$$-h=x+1$$

Divide both sides by -1.

$$\frac{-h}{-1}=\frac{x+1}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$h=\frac{x+1}{-1}$$

Divide x+1 by -1.

$$h=-\left(x+1\right)$$

Solve for x

$$x=-\left(h+1\right)$$

Solution Steps

Subtract x from both sides.

$$2x+1-x=-h$$

Combine 2x and -x to get x.

$$x+1=-h$$

Subtract 1 from both sides.

$$x=-h-1$$