Solve for x ax+bx=c

$a x + b x = c$

Step 1

Factor $x$ out of $a x + b x$ .

Factor $x$ out of $a x$ .

$x a + b x = c$

Factor $x$ out of $b x$ .

$x a + x b = c$

Factor $x$ out of $x a + x b$ .

$x (a + b) = c$

Step 2

Divide each term in $x (a + b) = c$ by $a + b$ and simplify.

Divide each term in $x (a + b) = c$ by $a + b$ .

$\frac{x (a + b)}{a + b} = \frac{c}{a + b}$

Simplify the left side.

Cancel the common factor of $a + b$ .

Cancel the common factor.

$\frac{x (a + b)}{a + b} = \frac{c}{a + b}$

Divide $x$ by $1$ .

$x = \frac{c}{a + b}$