Question

Use the Distributive Property to solve the equation. negative 8 −8​(x plus + 2 2​) equals = 32 32 Apply the Distributive Property and simplify. negative 8 −8​(x plus + 2 2​) equals = 32 32 negative 8 x plus left parenthesis nothing right parenthesis −8x+ −16 negative 16 equals = 32 32 The solution is left parenthesis nothing right parenthesis nothing . ​(Type the value of​ x.)

Answer 1

The Solution is (-6).

Explanation:

Given:

`-8(x+2)=32`

We need to solve the equation.

Solution:

`-8(x+2)=32`

Now applying distributive property we get;

`a(m+n)=am+an`

Applying the given rule we get;

`-8* x+(-8)* 2 =32\\\\-8x+(-16)=32`

Now we know that;

When (+) is met with the (-) the result is (-).

So we get;

`-8x-16=32`

Now adding both side by 16 using addition property of equality we get;

`-8x-16+16=32+16\\\\-8x=48`

Now we will divide both side by -8 using division property of equality we get;

`(-8x)/(-8)=(48)/(-8)\\\\x=-6`

Hence The Solution is (-6).

Answer 2

The solution is
`x=-6.`

Explanation:

Given:

The equation is -8(x + 2) =32.

Now, to solve the equation using distributive property:

So, the equation is:

`-8(x+2)=32`

Now, to solve it:

`-8(x+2)=32`

`-8x-16=32`

Adding both sides by 16 we get:

`-8x=48`

Dividing both sides by -8 we get:

`x=-6.`

Therefore, the solution is
`x=-6.`