Question

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

Answer 1

x=20

Explanation:

In edge you will get it right.

I took the test.

Hope this helps ;)

Answer 2

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.