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What is the value of x in the equation below 6 (x - 8) equals 72 ​

2 Answers

6 votes

Answer:

x=20

Explanation:

In edge you will get it right.

I took the test.

Hope this helps ;)

User Justin Rudd
by
8.2k points
3 votes

Here is the equation:


6(x-8)=72

In the equation, 6 is being multiplied by x - 8. There are two ways to solve this equation.

FIRST METHOD


6(x-8)=72

You need to remove the parentheses by multiplying everything in the parentheses by 6.


6(x-8) = (6* x) + (6 * -8)

Multiply:


6 * x = 6x\\6 * -8 = -48

Remember:

NEGATIVES

  • Negative(-) times(×) negative(-) = positive(+)
  • Negative(-) times(×) positive(+) = negative(-)
  • Negative(-) divided(÷) by positive(+) = negative(-)
  • Negative(-) divided(÷) by negative(-) = positive(+)

POSITIVES

  • Positive(+) times(×) positive(+) = positive(+)
  • Positive(-) times(×) negative(-) = negative(-)
  • Positive(+) divided(÷) by positive(+) = positive(+)
  • Positive(+) divided(÷) by negative(-) = negative(-)

Now combine the two values and rewrite the equation:


6x+-48 \rightarrow 6x-48=72

Since you're looking for x alone, you will need to remove the -48. This can be done by adding 48 to both sides, -48+48=0, which cancels it out).


6x-48+48=72+48\\6x=120

Lastly, divide both sides by 6 to leave x alone.


(6x)/(6) = (120)/(6)


x=20

SECOND METHOD

While the first step is somewhat complicated, there is a much easier way.


6(x-8)=72

Start by dividing both sides by 6 to remove the number next to the parentheses.


(6(x-8))/(6) =(72)/(6)


x-8=12

(The 6 is cancelled out since 6 divided by 6 equals 1, and 1 × any number is that number).

Now you need to leave the variable alone, which can be done by adding 8 to both sides(-8+8=0 and -8 is cancelled out).


x-8+8=12+8\\


x=20

Either method can be used, but the second one is definitely shorter!

The answer is x = 20.

User Toadead
by
8.6k points

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