Solve for x 3/x-4=-3

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

Step 1

Move all terms not containing $x$ to the right side of the equation.

Add $4$ to both sides of the equation.

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

Add $- 3$ and $4$ .

$\frac{3}{x} = 1$

Step 2

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$x, 1$

The LCM of one and any expression is the expression.

$x$

Step 3

Multiply each term in $\frac{3}{x} = 1$ by $x$ to eliminate the fractions.

Multiply each term in $\frac{3}{x} = 1$ by $x$ .

$\frac{3}{x} x = 1 x$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{3}{x} x = 1 x$

Rewrite the expression.

$3 = 1 x$

Simplify the right side.

Multiply $x$ by $1$ .

$3 = x$

Step 4

Rewrite the equation as $x = 3$ .

$x = 3$