6x+5=-8+3x+25

1 answer

To solve the equation \(6x + 5 = -8 + 3x + 25\), we first simplify the right side:

\[ -8 + 25 = 17 \]

So, the equation simplifies to:

\[ 6x + 5 = 3x + 17 \]

Next, we want to get all terms involving \(x\) on one side and the constant terms on the other side. We can do this by subtracting \(3x\) from both sides:

\[ 6x - 3x + 5 = 17 \]

This simplifies to:

\[ 3x + 5 = 17 \]

Now, subtract \(5\) from both sides:

\[ 3x = 17 - 5 \]

This gives us:

\[ 3x = 12 \]

Now, divide both sides by \(3\):

\[ x = \frac{12}{3} \]

So we find:

\[ x = 4 \]

Thus, the solution is:

\[ \boxed{4} \]