Question

4x+7-(x+6)=68
Solve.
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Answer 1

Hi!

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`\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup`

x=

`\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup`

First let's distribute the minus sign.

`\twoheadrightarrow\sf 4x+7-x-6=68`

`\bullet` Add 6 to both sides

`\twoheadrightarrow\sf 4x+7-x=74`

`\bullet` Subtract the x's

`\twoheadrightarrow\sf 3x+7=74`

`\bullet` Subtract 7 from both sides

`\twoheadrightarrow\sf3x=67`

`\bullet` Divide both sides by 3

`\twoheadrightarrow\sf x=\cfrac{67}{3}`

`\bullet` Great job! We solved for the variable

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Hope that this helped! Best wishes.

`\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}`

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Answer 2

`4x + 7 - (x + 6) = 68 \\ \\ 4x + 7 - x - 6 = 68 \\ \\ 3x + 1 = 68 \\ \\ 3x = 68 - 1 \\ \\ 3x = 67 \\ \\ x = (67)/(3) \\ \\ x = 22.3`

The value of x is 67/3 or 22.3 .