3x+8-10x+2=-4

1 answer

To solve the equation \(3x + 8 - 10x + 2 = -4\), we can start by combining like terms on the left side.

  1. Combine the \(x\) terms: \[ 3x - 10x = -7x \]

  2. Combine the constant terms: \[ 8 + 2 = 10 \]

Now the equation becomes: \[ -7x + 10 = -4 \]

Next, we want to isolate \(x\). Start by subtracting 10 from both sides: \[ -7x + 10 - 10 = -4 - 10 \] \[ -7x = -14 \]

Now divide both sides by -7: \[ x = \frac{-14}{-7} = 2 \]

The solution is: \[ \boxed{2} \]