Solve x_{2}=2.5(1-x_{0})

$$x _ { 2 } = 2.5 ( 1 - x _ { 0 } )$$

Solve for x_0

$$x_{0}=-\frac{2x_{2}}{5}+1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2.5 by 1-x_{0}.

$$x_{2}=2.5-2.5x_{0}$$

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

$$2.5-2.5x_{0}=x_{2}$$

Subtract 2.5 from both sides.

$$-2.5x_{0}=x_{2}-2.5$$

Divide both sides of the equation by -2.5, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-2.5x_{0}}{-2.5}=\frac{x_{2}-2.5}{-2.5}$$

Dividing by -2.5 undoes the multiplication by -2.5.

$$x_{0}=\frac{x_{2}-2.5}{-2.5}$$

Divide x_{2}-2.5 by -2.5 by multiplying x_{2}-2.5 by the reciprocal of -2.5.

$$x_{0}=-\frac{2x_{2}}{5}+1$$

Solve for x_2

$$x_{2}=\frac{5-5x_{0}}{2}$$

Solution Steps

Use the distributive property to multiply 2.5 by 1-x_{0}.

$$x_{2}=2.5-2.5x_{0}$$