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DiKsa [7]
3 years ago
11

How do I solve for X ax+bx=c

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
8 0
Combine like terms the solve. For example:

5x + 20x = 100
25x = 100
/25 = /25

x =4
pshichka [43]3 years ago
5 0

Answer: x = \frac{c}{a + b}

Step-by-step explanation: Notice that the variable we're solving for in this problem appears in two separate terms. In this situation, we must first factor the <em>x</em> out of both terms to get x(a + b) = c.

Think about it as the reverse of the distributive property. In other words, if we take our second step and distribute the <em>x</em> through the parentheses, we end up back at our first step.

The beauty of factoring is that the two <em>x's</em> in this problem have now been combined into one <em>x</em> and we can get <em>x</em> by itself by simply dividing both sides by <em>a + b</em> and we have x = \frac{c}{a + b}.

In the image provided, I have highlighted the <em>x</em> in purple so we know what we're solving for and I have shown you the steps as well.  

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