Solve Equations with Variables on Both Sides Quick Check

Question

4 of 54 of 5 Items
Question
Solve for x
: 4x+8=3x−10
.(1 point)
Responses

x=3
x equals 3

x=−10
x equals negative 10

x=−18
x equals negative 18

x=−8

Answer 1

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. Subtract \( 8 \) from both sides: \[ x = -10 - 8 \] This simplifies to: \[ x = -18 \]

So the solution is \( x = -18 \).

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