Solve for x : 4x+8=3x−10 .(1 point) Responses x=−8 x equals negative 8 x=3 x equals 3 x=−18 x equals negative 18 x=−10

1 answer

To solve the equation \( 4x + 8 = 3x - 10 \), follow these steps:

  1. Move the term involving \( x \) on the right side to the left side: \[ 4x - 3x + 8 = -10 \] This simplifies to: \[ x + 8 = -10 \]

  2. Next, isolate \( x \) by subtracting 8 from both sides: \[ x = -10 - 8 \] This results in: \[ x = -18 \]

The solution to the equation is \( x = -18 \).

So the correct answer is \( x = -18 \) (or "x equals negative 18").