Questions: -(-4 x-2)+2(+3)=40 -(44+-87+(2 x+6)=-40 -4+8+2 x+6=-40 a+2=8

Solution Steps

To solve the given equations, we will simplify each equation step by step and solve for the variable \( x \) or \( a \) as required. For each equation, we will isolate the variable on one side to find its value.

We start with the equation: \[ -(-4x - 2) + 2(+3) = 40 \] Simplifying this, we have: \[ 4x + 8 = 40 \] Subtracting 8 from both sides gives: \[ 4x = 32 \] Dividing by 4 results in: \[ x = 8 \]

Next, we consider the equation: \[ -(44 + -87 + (2x + 6)) = -40 \] This simplifies to: \[ -(37 - 2x) = -40 \] Removing the negative sign leads to: \[ 37 - 2x = 40 \] Subtracting 37 from both sides gives: \[ -2x = 3 \] Dividing by -2 results in: \[ x = \frac{77}{2} \]

Now we solve the equation: \[ -4 + 8 + 2x + 6 = -40 \] This simplifies to: \[ 2x + 10 = -40 \] Subtracting 10 from both sides gives: \[ 2x = -50 \] Dividing by 2 results in: \[ x = -25 \]

Finally, we solve the equation: \[ a + 2 = 8 \] Subtracting 2 from both sides gives: \[ a = 6 \]

Final Answer