Solve for x

: 4x+8=3x−10
.(1 point)
Responses

x=−10
x equals negative 10

x=−18
x equals negative 18

x=−8
x equals negative 8

x=3

1 answer

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

  1. Subtract \( 3x \) from both sides: \[ 4x - 3x + 8 = -10 \] This simplifies to: \[ x + 8 = -10 \]

  2. Next, subtract 8 from both sides: \[ x = -10 - 8 \] This simplifies to: \[ x = -18 \]

So, the solution is: \[ \boxed{-18} \]

The correct response is \( x = -18 \) (x equals negative 18).