Let's solve the equation step by step:
The equation is:
\[ 3x + 5 + (x + 5) = (1 - x) + 4 \]
First, simplify both sides of the equation.
On the left side:
\[ 3x + 5 + x + 5 = 3x + x + 5 + 5 = 4x + 10 \]
On the right side:
\[ (1 - x) + 4 = 1 - x + 4 = 5 - x \]
Now, the equation looks like this:
\[ 4x + 10 = 5 - x \]
Next, add \(x\) to both sides:
\[ 4x + x + 10 = 5 - x + x \]
This simplifies to:
\[ 5x + 10 = 5 \]
Now, subtract 10 from both sides:
\[ 5x + 10 - 10 = 5 - 10 \]
This simplifies to:
\[ 5x = -5 \]
Now, divide both sides by 5:
\[ x = -1 \]
So, the solution to the equation is:
\[ x = -1 \]
