Solve x=(31.025)+(3.238*x)-(3.248*A)+(0.1536*A*x)

$$x = ( 31.025 ) + ( 3.238 * x ) - ( 3.248 * A ) + ( 0.1536 * A * x )$$

Solve for A

$$A=-\frac{\frac{1119x}{500}+31.025}{\frac{96x}{625}-3.248}$$

$$x\neq \frac{1015}{48}$$

Steps for Solving Linear Equation

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

$$31.025+3.238x-3.248A+0.1536Ax=x$$

Subtract 31.025 from both sides.

$$3.238x-3.248A+0.1536Ax=x-31.025$$

Subtract 3.238x from both sides.

$$-3.248A+0.1536Ax=x-31.025-3.238x$$

Combine x and -3.238x to get -2.238x.

$$-3.248A+0.1536Ax=-2.238x-31.025$$

Combine all terms containing A.

$$\left(-3.248+0.1536x\right)A=-2.238x-31.025$$

The equation is in standard form.

$$\left(\frac{96x}{625}-3.248\right)A=-\frac{1119x}{500}-31.025$$

Divide both sides by -3.248+0.1536x.

$$\frac{\left(\frac{96x}{625}-3.248\right)A}{\frac{96x}{625}-3.248}=\frac{-\frac{1119x}{500}-31.025}{\frac{96x}{625}-3.248}$$

Dividing by -3.248+0.1536x undoes the multiplication by -3.248+0.1536x.

$$A=\frac{-\frac{1119x}{500}-31.025}{\frac{96x}{625}-3.248}$$

Divide -\frac{1119x}{500}-31.025 by -3.248+0.1536x.

$$A=-\frac{1119x+15512.5}{500\left(\frac{96x}{625}-3.248\right)}$$

Solve for x

$$x=\frac{\frac{406A}{125}-31.025}{\frac{96A}{625}+2.238}$$

$$A\neq -\frac{1865}{128}$$

Steps for Solving Linear Equation

Subtract 3.238x from both sides.

$$x-3.238x=31.025-3.248A+0.1536Ax$$

Combine x and -3.238x to get -2.238x.

$$-2.238x=31.025-3.248A+0.1536Ax$$

Subtract 0.1536Ax from both sides.

$$-2.238x-0.1536Ax=31.025-3.248A$$

Combine all terms containing x.

$$\left(-2.238-0.1536A\right)x=31.025-3.248A$$

The equation is in standard form.

$$\left(-\frac{96A}{625}-2.238\right)x=-\frac{406A}{125}+31.025$$

Divide both sides by -2.238-0.1536A.

$$\frac{\left(-\frac{96A}{625}-2.238\right)x}{-\frac{96A}{625}-2.238}=\frac{-\frac{406A}{125}+31.025}{-\frac{96A}{625}-2.238}$$

Dividing by -2.238-0.1536A undoes the multiplication by -2.238-0.1536A.

$$x=\frac{-\frac{406A}{125}+31.025}{-\frac{96A}{625}-2.238}$$

Divide 31.025-\frac{406A}{125} by -2.238-0.1536A.

$$x=-\frac{3878.125-406A}{125\left(\frac{96A}{625}+2.238\right)}$$