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What is the value of x in the equation 13x - 2(8 + 5x) =12 - 11x

2 Answers

4 votes

Answer: x = 2

Explanation:

The given equation :
13x - 2(8 + 5x) =12 - 11x

T o solve the above equation for x , we use BODMAS ( Bracket → Of → Divide→ Multiply→ Add→ Subtract)

According to BODMAS , we first simplify brackets , we get


13x - 2(8) - 2(5x) =12 - 11x [∵ (-)(+)=(-)]


\Rightarrow\ 13x - 16 - 10x =12 - 11x

Add 11x and 16 on both sides and combine like terms,


\Rightarrow\ 13x- 10x +11x=12 +16


\Rightarrow\ 14x=28

Divide both sides by 14 , we get


x=2

Hence, the value of x = 2

User Tenfour
by
8.7k points
5 votes

13x - 2(8+5x)=12 - 11x do the distributive property first

13x - 16 -10x = 12 - 11x combine like terms

3x-16=12-11x get all x's on one side and regular nubers on the other so add 11x and 16 to both sides.

14x=28 divide both sides by 14

x=2


Hope that helps

User Sleek Geek
by
8.5k points

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