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IgorLugansk [536]
3 years ago
11

Enter the value for x that makes the given equation true.

Mathematics
1 answer:
V125BC [204]3 years ago
6 0

Answer:

x = -1

Step-by-step explanation:

20x - 5(6x + 4) = 4x - 6

20x - 30x - 20 = 4x - 6

-10x - 20 = 4x - 6

-10x - 4x = -6 + 20

-14x = 14

x = -1

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2x+14= -21-5x<br> Need to find out what x is but a step by step explanation please
adoni [48]
Notice how on both sides of the equation there is one coefficient (number being multiplied by x) and a constant (just a plain number). You want all constants to be on one side and all coefficients on the other. He’s how do to that:
2x+14=-21-5
I am choosing that all constants will be on the right side, so I will do the inverse operation of any constant on the left side to remove it. Here, a constant on the left side is 14. I will subtract 14 from both sides of the equation. Positive 14 minus 14 is zero, so it cancels out and removes it.
2x+14-14 = -21-5x
2x = -35-5x
See how the 14 is now gone? The equation looks much simpler now. Okay next, you can see that there is a coefficient on the “constant side” that I’ve chosen, so I am going to remove that. Negative 5 plus positive 5 equals zero. Do this on both sides of the equation.
2x+5x = -35-5x+5x
7x = -35
Now the equation is just two numbers. All that is left to do is divide by the last coefficient, 7, in this case.
7x/7 = -35/7
x = -5
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1 year ago
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