Respuesta :
Question: -2x + 8 = 3x + 14
Steps:
1. Subtract 3x from both sides
-2x - 3x + 8 = 3x - 3x + 14
2. Simplify:
-5x + 8 = 14
3. Then, subtract 8 from both sides:
-5x + 8 - 8 = 14 - 8
4. Simplify,
-5x = 6
5. Then, divide both sides by -5
-5x/-5 = 6/-5
6. Simplify,
x = -6/5 <--------------- Answer
Hope this helped!!!!
Given:
[tex] -2x+8=3x+14 [/tex]
Our goal is to isolate x on one side of the variable with no coefficient. Let's begin. First, let's get subtract 3x from both sides to cancel the +3x on the right. We are then left with:
[tex] -5x+8=14 [/tex]
Next, subtract 8 from both sides to cancel the +8 on the right. This isolates x on the left side. When we do that, we get:
[tex] -5x=6 [/tex]
Since we are solving for x, x cannot have a coefficient. To remove the coefficient, divide both sides by the coefficient, which is -5.
[tex] \frac{-5x}{-5}=\frac{6}{-5} [/tex]
Simplify.
[tex] x=-\frac{6}{5} [/tex]
