Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below: 3x + 12 + 2 = 2 + 5x – 20 3x + 14 = 5x – 18 14 = 2x – 18 32 = 2x 16 = x Use the drops-downs to justify the steps Heidi used to solve the equation.

Their is 5 drop down menues.I have to make a good grade on this and i really need the right answer so please help if you know what your doing i seriously need to pass this quiz.

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PiaDeveau PiaDeveau · Answer 1 · 2018-11-23T09:42:00-05:00

Given equation: 3(x + 4) + 2 = 2 + 5(x – 4).

First step is to distribute 3 on left side and 5 on right side of the equation, we get

3x + 12 + 2 = 2 + 5x – 20

Second step is combining like terms, 12+2=14 and 2-20=-18.

We get

3x +14 = 5x -18.

Adding 18 on both sides and subtracting 3x from both sides, gives

32 = 2x.

We need to divide both sides by 2, we get

16=x.

alokdubeyvidyaatech alokdubeyvidyaatech · Answer 2 · 2021-11-08T11:46:43-05:00

The given equation \(3(x+4)+2=2+5(x-4)\) can be simplified using BODMAS rule. The conclusion of the given equation is \(16=x\).

Given equation:

\(3(x+4)+2=2+5(x-4)\)

First step is to distribute 3 on left side and 5 on right side of the equation,

we get

\(3x+12+2=2+5x-20\)

Second step is combining like terms, and .

We get

\(3x+14=5x-18\)

Third step, we need to get rid 18 from right side and from left side.

Adding 18 on both sides and subtracting \(3x\) from both sides, gives

\(32=2x\)

Fourth step , we need to get rid of 2 from the right side 2x.

We need to divide both sides by 2, we get

\(16=x\)

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