Solve operatorname{ion}3x+3/7=7x+7/3

$$\operatorname { ion } \frac { 3 x + 3 } { 7 } = \frac { 7 x + 7 } { 3 }$$

Solve for n

$$\left\{\begin{matrix}n=\frac{-49i}{9o}\text{, }&o\neq 0\\n\in \mathrm{C}\text{, }&x=-1\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 7,3.

$$3ion\left(3x+3\right)=7\left(7x+7\right)$$

Use the distributive property to multiply 3ion by 3x+3.

$$9inox+9ino=7\left(7x+7\right)$$

Use the distributive property to multiply 7 by 7x+7.

$$9inox+9ino=49x+49$$

Combine all terms containing n.

$$\left(9iox+9io\right)n=49x+49$$

Divide both sides by 9iox+9io.

$$\frac{\left(9iox+9io\right)n}{9iox+9io}=\frac{49x+49}{9iox+9io}$$

Dividing by 9iox+9io undoes the multiplication by 9iox+9io.

$$n=\frac{49x+49}{9iox+9io}$$

Divide 49+49x by 9iox+9io.

$$n=\frac{-49i}{9o}$$

Solve for o

$$\left\{\begin{matrix}o=\frac{-49i}{9n}\text{, }&n\neq 0\\o\in \mathrm{C}\text{, }&x=-1\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 7,3.

$$3ion\left(3x+3\right)=7\left(7x+7\right)$$

Use the distributive property to multiply 3ion by 3x+3.

$$9inox+9ino=7\left(7x+7\right)$$

Use the distributive property to multiply 7 by 7x+7.

$$9inox+9ino=49x+49$$

Combine all terms containing o.

$$\left(9inx+9in\right)o=49x+49$$

Divide both sides by 9inx+9in.

$$\frac{\left(9inx+9in\right)o}{9inx+9in}=\frac{49x+49}{9inx+9in}$$

Dividing by 9inx+9in undoes the multiplication by 9inx+9in.

$$o=\frac{49x+49}{9inx+9in}$$

Divide 49+49x by 9inx+9in.

$$o=\frac{-49i}{9n}$$