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.

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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.

The given equation can be simplified using BODMAS rule. The conclusion of the given equation is .

Given equation:

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

we get

Second step is combining like terms, and .

We get

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

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

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

We need to divide both sides by 2, we get

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the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5