Solve -46z-23=46x+23

$$- 46 z - 23 = 46 x + 23$$

Solve for x

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

Steps for Solving Linear Equation

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

$$46x+23=-46z-23$$

Subtract 23 from both sides.

$$46x=-46z-23-23$$

Subtract 23 from -23 to get -46.

$$46x=-46z-46$$

Divide both sides by 46.

$$\frac{46x}{46}=\frac{-46z-46}{46}$$

Dividing by 46 undoes the multiplication by 46.

$$x=\frac{-46z-46}{46}$$

Divide -46z-46 by 46.

$$x=-z-1$$

Solve for z

$$z=-x-1$$

Steps for Solving Linear Equation

Add 23 to both sides.

$$-46z=46x+23+23$$

Add 23 and 23 to get 46.

$$-46z=46x+46$$

Divide both sides by -46.

$$\frac{-46z}{-46}=\frac{46x+46}{-46}$$

Dividing by -46 undoes the multiplication by -46.

$$z=\frac{46x+46}{-46}$$

Divide 46+46x by -46.

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