Solve x/x=b/3456

$$\frac { x } { x } = \frac { b } { 3456 }$$

Solve for b

$$b=3456$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3456x, the least common multiple of x,3456.

$$3456x=xb$$

Swap sides so that all variable terms are on the left hand side.

$$xb=3456x$$

Divide both sides by x.

$$\frac{xb}{x}=\frac{3456x}{x}$$

Dividing by x undoes the multiplication by x.

$$b=\frac{3456x}{x}$$

Divide 3456x by x.

$$b=3456$$

Solve for x

$$x\neq 0$$

$$b=3456\text{ and }x\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3456x, the least common multiple of x,3456.

$$3456x=xb$$

Subtract xb from both sides.

$$3456x-xb=0$$

Combine all terms containing x.

$$\left(3456-b\right)x=0$$

Divide 0 by 3456-b.

$$x=0$$

Variable x cannot be equal to 0.

$$x\in \emptyset$$