Solve Ax-4=3-2x

$$A x - 4 = 3 - 2 x$$

Solve for A

$$A=-2+\frac{7}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Add 4 to both sides.

$$Ax=3-2x+4$$

Add 3 and 4 to get 7.

$$Ax=7-2x$$

The equation is in standard form.

$$xA=7-2x$$

Divide both sides by x.

$$\frac{xA}{x}=\frac{7-2x}{x}$$

Dividing by x undoes the multiplication by x.

$$A=\frac{7-2x}{x}$$

Divide 7-2x by x.

$$A=-2+\frac{7}{x}$$

Solve for x

$$x=\frac{7}{A+2}$$

$$A\neq -2$$

Steps for Solving Linear Equation

Add 2x to both sides.

$$Ax-4+2x=3$$

Add 4 to both sides.

$$Ax+2x=3+4$$

Add 3 and 4 to get 7.

$$Ax+2x=7$$

Combine all terms containing x.

$$\left(A+2\right)x=7$$

Divide both sides by A+2.

$$\frac{\left(A+2\right)x}{A+2}=\frac{7}{A+2}$$

Dividing by A+2 undoes the multiplication by A+2.

$$x=\frac{7}{A+2}$$