Question

Solve the equation. 3(x+4)+2=2+5(x-4)

Answer 1

Explanation:

To solve the equation 3(x + 4) + 2 = 2 + 5(x - 4), we need to isolate the variable x on one side of the equation. Here's how we can do it:

Expand the left side of the equation:

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

3x + 12 + 2 = 2 + 5x - 20

3x + 14 = 5x - 18

Subtract 3x from both sides:

3x + 14 = 5x - 18

0 = 2x - 4

Add 4 to both sides:

0 + 4 = 2x - 4 + 4

4 = 2x

Finally, divide both sides by 2:

4 / 2 = 2x / 2

2 = x

So the solution to the equation is x = 2.

Answer 2

x=16

3(x+4)+2=2+5(x-4)
Distribute: 3x+12+2=2+5x-20
Condense (simplify like terms): 3x+14=5x-18
-2x=-32
x=16

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