Solve zeta=1-x/2

$$\zeta = \frac { 1 - x } { 2 }$$

Solve for x

$$x=1-2\zeta$$

Steps for Solving Linear Equation

Divide each term of 1-x by 2 to get \frac{1}{2}-\frac{1}{2}x.

$$\zeta =\frac{1}{2}-\frac{1}{2}x$$

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

$$\frac{1}{2}-\frac{1}{2}x=\zeta$$

Subtract \frac{1}{2} from both sides.

$$-\frac{1}{2}x=\zeta -\frac{1}{2}$$

Multiply both sides by -2.

$$\frac{-\frac{1}{2}x}{-\frac{1}{2}}=\frac{\zeta -\frac{1}{2}}{-\frac{1}{2}}$$

Dividing by -\frac{1}{2} undoes the multiplication by -\frac{1}{2}.

$$x=\frac{\zeta -\frac{1}{2}}{-\frac{1}{2}}$$

Divide \zeta -\frac{1}{2} by -\frac{1}{2} by multiplying \zeta -\frac{1}{2} by the reciprocal of -\frac{1}{2}.

$$x=1-2\zeta$$

Solve for ζ

$$\zeta =\frac{1-x}{2}$$

Solution Steps

Divide each term of 1-x by 2 to get \frac{1}{2}-\frac{1}{2}x.

$$\zeta =\frac{1}{2}-\frac{1}{2}x$$