10(x+3) - (-9x -4)=x-5+3

Let's simplify the equation step by step:

Starting with the given equation: \[ 10(x + 3) - (-9x - 4) = x - 5 + 3 \]

First, simplify the right side: \[ x - 5 + 3 = x - 2 \]

Now, rewrite the left side: \[ 10(x + 3) + (9x + 4) = x - 2 \]

Distribute the \(10\) on the left side: \[ 10x + 30 + 9x + 4 = x - 2 \]

Combine like terms on the left side: \[ (10x + 9x) + (30 + 4) = x - 2 \] \[ 19x + 34 = x - 2 \]

Now, isolate \(x\) by moving \(x\) from the right side to the left side: \[ 19x - x + 34 = -2 \] \[ 18x + 34 = -2 \]

Next, subtract \(34\) from both sides: \[ 18x = -2 - 34 \] \[ 18x = -36 \]

Now, divide both sides by \(18\): \[ x = \frac{-36}{18} = -2 \]

So the solution to the equation is: \[ \boxed{-2} \]