What is the value of c?

Question

13c−22=−17c+14

Enter your answer in the box.

c =

Answer 1

To solve the equation $13c-22=-17c+14$, we can start by isolating $c$.

First, let's add $17c$ to both sides:

$$13c+17c-22=14$$

This simplifies to:

$$30c-22=14$$

Next, add $22$ to both sides:

$$30c=14+22$$

This simplifies to:

$$30c=36$$

Now, divide both sides by $30$:

$$c=\frac{36}{30}$$

Simplifying $\frac{36}{30}$:

$$c=\frac{6}{5}$$

Thus, the value of $c$ is

$$\boxed{{\displaystyle \frac{6}{5}}}$$

Answer 2

what is 6/5 simplified

Answer 3

The fraction $\frac{6}{5}$ is already in its simplest form. The numerator (6) and the denominator (5) do not have any common factors other than 1.

Therefore, $\frac{6}{5}$ cannot be simplified further. It can also be expressed as a mixed number:

$$1\frac{1}{5}$$

But as a fraction, $\frac{6}{5}$ is already simplified.