Solve (10-A)x=40

$$( 10 - A ) x = 40$$

Solve for A

$$A=10-\frac{40}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10-A by x.

$$10x-Ax=40$$

Subtract 10x from both sides.

$$-Ax=40-10x$$

The equation is in standard form.

$$\left(-x\right)A=40-10x$$

Divide both sides by -x.

$$\frac{\left(-x\right)A}{-x}=\frac{40-10x}{-x}$$

Dividing by -x undoes the multiplication by -x.

$$A=\frac{40-10x}{-x}$$

Divide 40-10x by -x.

$$A=10-\frac{40}{x}$$

Solve for x

$$x=\frac{40}{10-A}$$

$$A\neq 10$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10-A by x.

$$10x-Ax=40$$

Combine all terms containing x.

$$\left(10-A\right)x=40$$

Divide both sides by 10-A.

$$\frac{\left(10-A\right)x}{10-A}=\frac{40}{10-A}$$

Dividing by 10-A undoes the multiplication by 10-A.

$$x=\frac{40}{10-A}$$