Solve ax-4x=3+a

$$a x - 4 x = 3 + a$$

Solve for a

$$a=\frac{4x+3}{x-1}$$

$$x\neq 1$$

Steps for Solving Linear Equation

Subtract a from both sides.

$$ax-4x-a=3$$

Add 4x to both sides.

$$ax-a=3+4x$$

Combine all terms containing a.

$$\left(x-1\right)a=3+4x$$

The equation is in standard form.

$$\left(x-1\right)a=4x+3$$

Divide both sides by x-1.

$$\frac{\left(x-1\right)a}{x-1}=\frac{4x+3}{x-1}$$

Dividing by x-1 undoes the multiplication by x-1.

$$a=\frac{4x+3}{x-1}$$

Solve for x

$$x=\frac{a+3}{a-4}$$

$$a\neq 4$$

Steps for Solving Linear Equation

Combine all terms containing x.

$$\left(a-4\right)x=3+a$$

The equation is in standard form.

$$\left(a-4\right)x=a+3$$

Divide both sides by a-4.

$$\frac{\left(a-4\right)x}{a-4}=\frac{a+3}{a-4}$$

Dividing by a-4 undoes the multiplication by a-4.

$$x=\frac{a+3}{a-4}$$