How do you solve -8x + 10= - 6x + 208x+10=6x+20?

2 Answers
Mar 3, 2018

x=-5x=5

Explanation:

We can start by adding 8x8x to both sides of the equation. We get:

10=2x+2010=2x+20

We can subtract 2020 from both sides to get:

-10=2x10=2x

Switching the sides...

2x=-102x=10

We can divide both sides by 22 to get:

x=-5x=5

Mar 3, 2018

x=-5x=5

Explanation:

As with any equation, we always want xx on one side. Therefore we would either +8x+8x or +6x+6x to cancel out one of the x's on any side, depending on what you choose to add. As adding 8x would make the -6x positive I will choose to +8x.

-8x+10=-6x+20 -> 10=2x+20

As want x on its own, we -20 from both sides, as this would cancel the +20 on the side with the x, getting rid of it. Always remember, what you do to one side, you must do to the other.

10=2x+20 -> 2x=-10

To solve an equation like this, we always divide the value by the value of x's.

x=-10/2=-5

therefore x=-5