Solve for x 3x-x/a=c

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

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.

$1, a, 1$

The LCM of one and any expression is the expression.

$a$

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

Multiply each term in $3 x - \frac{x}{a} = c$ by $a$ .

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

Simplify the left side.

Cancel the common factor of $a$ .

Move the leading negative in $- \frac{x}{a}$ into the numerator.

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

Cancel the common factor.

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

Rewrite the expression.

$3 x a - x = c a$

Solve the equation.

Factor $x$ out of $3 x a - x$ .

Factor $x$ out of $3 x a$ .

$x (3 a) - x = c a$

Factor $x$ out of $- x$ .

$x (3 a) + x \cdot - 1 = c a$

Factor $x$ out of $x (3 a) + x \cdot - 1$ .

$x (3 a - 1) = c a$

Divide each term in $x (3 a - 1) = c a$ by $3 a - 1$ and simplify.

Divide each term in $x (3 a - 1) = c a$ by $3 a - 1$ .

$\frac{x (3 a - 1)}{3 a - 1} = \frac{c a}{3 a - 1}$

Simplify the left side.

Cancel the common factor of $3 a - 1$ .

Cancel the common factor.

$\frac{x (3 a - 1)}{3 a - 1} = \frac{c a}{3 a - 1}$

Divide $x$ by $1$ .

$x = \frac{c a}{3 a - 1}$