Question

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

Answer 1

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

Answer 2

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