Question

Four times the sum of a number and two is equal to twice the number

Answer 1

number is - 4

Explanation:

let the number be n then 4 times the sum of the number and 2 is 4(n + 2)

4(n + 2) = 2n

4n + 8 = 2n ( subtract 2n from both sides )

2n + 8 = 0 ( subtract 8 from both sides )

2n = - 8 ( divide both sides by 2 )

n = - 4

the number is - 4

Answer 2

`\textsf{Hi Brainy User, I'm Here to Help you!}`

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`\textsf{Let the number be t.}`

`\textsf{The Sum means adding two numbers together.}`

`\textsf{Then,}`

`\textsf{4 times the sum of a number and 2 = 4 times t+2 = 4(t+2).}`

`\textsf{Remember to write the parentheses when you're multiplying something times}\\\textsf{a sum or a difference.}`

`\textsf{You know how to write`

`\therefore\\\textsf{4(t+2)=}`

`\textsf{Next, twice the number is written as 2t.}`

`\textsf{\textbf{Our expression looks like this:}}`

`\Large\boldsymbol{\rm{4(t+2)=2t}}`

`\textsf{Now let's find the number: }`

`\Large\begin{gathered} \sf{4(t+2)=2t}\\\sf{4t+8=2t}\\\sf{4t-2t=-8}\\\sf{2t=-8}\\\sf{t=-4} \end{gathered}`

`\ddot\smile`

`\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star`