What is the solution to the equation 5x + 2 = 3x + 10?

To solve the equation (5x + 2 = 3x + 10), we need to isolate (x).

Start by moving all terms involving (x) to one side of the equation. You can do this by subtracting (3x) from both sides:

[

5x - 3x + 2 = 10

]

This simplifies to:

[

2x + 2 = 10

]

Next, isolate the term with (x) by subtracting (2) from both sides:

[

2x = 10 - 2

]

[

2x = 8

]

Now, divide both sides by (2) to solve for (x):

[

x = \frac{8}{2} = 4

]

Thus, the solution to the equation (5x + 2 = 3x + 10) is (x = 4). This means the answer is indeed accurate and demonstrates that proper algebraic manipulation led to the correct solution.

When checking against the original equation, substituting back (x = 4) into both sides would also yield equality, reaffirm