QuestionSolve for $x$ : $a x + b x = c$

Studdy Solution

STEP 1

Assumptions1. The equation is $ax + bx = c$ . $a$ , $b$ , and $c$ are constants3. We are solving for $x$

STEP 2

First, we can combine like terms on the left side of the equation. Since both terms involve $x$ , we can add them together.
$ax + bx = (a + b)x$

STEP 3

Now, we have a simpler equation $(a + b)x = c$ .

STEP 4

To isolate $x$ , we can divide both sides of the equation by $(a + b)$ .
$x = \frac{c}{a + b}$ This is the solution for $x$ .

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