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The equation shown below is true for which value of x? 5(x + 2) - 3(x - 6) = 7x

User Brian Underwood
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1 Answer

24 votes
24 votes

Answer:

x= 28/5 or 5.6

Explanation:

5(x+2)−3(x−6)=7x

5(x+2)−3(x−6)=7x

Simplify both sides of the equation.

5(x+2)−3(x−6)=7x

(5)(x)+(5)(2)+(−3)(x)+(−3)(−6)=7x <--(Distribute)

5x+10+−3x+18=7x

(5x+−3x)+(10+18)=7x <--(Combine Like Terms)

2x+28=7x

2x+28=7x

Subtract 7x from both sides.

2x+28−7x=7x−7x

−5x+28=0

Subtract 28 from both sides.

−5x+28−28=0−28

−5x=−28

Divide both sides by -5.


(-5x)/(-5) (-28)/(-5\\) \\

x= 28/5

Answer:

x= 28/5

or

5.6

hope this helps!

User Makdu
by
2.1k points