How do you solve 2x=7x+10?

2 Answers
Apr 27, 2018

x=-2

Explanation:

"collect terms in x on the left side of the equation"
"and numeric values on the right side"

"subtract "7x" from both sides"

2x-7x=cancel(7x)cancel(-7x)+10

rArr-5x=10

"divide both sides by "-5

(cancel(-5) x)/cancel(-5)=10/(-5)

rArrx=-2

color(blue)"As a check"

Substitute this value into the equation and if both sides are equal then it is the solution.

"left "=2xx-2=-4

"right "=(7xx-2)+10=-14+10=-4

rArrx=-2" is the solution"

Apr 27, 2018

x = -2

Explanation:

The first step to solving this equation is to place all the x terms on one side by subtracting 7x from each side of the equation:

2x - 7x = 7x - 7x + 10
**-5x = 10

Now, all you need to do is divide each side by -5 to remove the coefficient from the x term and get it by itself:

(-5x)/-5 = 10/-5
x = -2