Solve for c

To solve the equation (2c + 1.8 = 2.4c – 1), we will isolate (c). Here are the steps:

1. Start with the original equation:

[

2c + 1.8 = 2.4c – 1

]

2. Subtract (2c) from both sides to get all (c) terms on one side:

[

1.8 = 2.4c – 2c – 1

]

This simplifies to:

[

1.8 = 0.4c – 1

]

3. Next, add (1) to both sides to isolate the term with (c):

[

1.8 + 1 = 0.4c

]

This simplifies to:

[

2.8 = 0.4c

]

4. Finally, divide both sides by (0.4) to solve for (c):

[

c = frac{2.8}{0.4} = 7

]

So, the solution is:

[

c = 7

]