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How do you solve this?

-2x+8=3x+14

thanks

2 Answers

3 votes

Given:


-2x+8=3x+14

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:


-5x+8=14

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:


-5x=6

Since we are solving for x, x cannot have a coefficient. To remove the coefficient, divide both sides by the coefficient, which is -5.


(-5x)/(-5)=(6)/(-5)

Simplify.


x=-(6)/(5)

User BurgerB
by
8.4k points
4 votes

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!!!!

User Adam Rubin
by
8.3k points

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