Solve ax+3=7-3a

$$a x + 3 = 7 - 3 a$$

Solve for a

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

$$x\neq -3$$

Steps for Solving Linear Equation

Add 3a to both sides.

$$ax+3+3a=7$$

Subtract 3 from both sides.

$$ax+3a=7-3$$

Subtract 3 from 7 to get 4.

$$ax+3a=4$$

Combine all terms containing a.

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

Divide both sides by x+3.

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

Dividing by x+3 undoes the multiplication by x+3.

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

Solve for x

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

$$a\neq 0$$

Steps for Solving Linear Equation

Subtract 3 from both sides.

$$ax=7-3a-3$$

Subtract 3 from 7 to get 4.

$$ax=4-3a$$

Divide both sides by a.

$$\frac{ax}{a}=\frac{4-3a}{a}$$

Dividing by a undoes the multiplication by a.

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

Divide 4-3a by a.

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