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.)

Respuesta :

Answer:

The solution is [tex]x=-6.[/tex]

Step-by-step explanation:

Given:

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

Now, to solve the equation using distributive property:

So, the equation is:

[tex]-8(x+2)=32[/tex]

Now, to solve it:

[tex]-8(x+2)=32[/tex]

[tex]-8x-16=32[/tex]

Adding both sides by 16 we get:

[tex]-8x=48[/tex]

Dividing both sides by -8 we get:

[tex]x=-6.[/tex]

Therefore, the solution is [tex]x=-6.[/tex]

Answer:

The Solution is (-6).

Step-by-step explanation:

Given:

[tex]-8(x+2)=32[/tex]

We need to solve the equation.

Solution:

[tex]-8(x+2)=32[/tex]

Now applying distributive property we get;

[tex]a(m+n)=am+an[/tex]

Applying the given rule we get;

[tex]-8\times x+(-8)\times 2 =32\\\\-8x+(-16)=32[/tex]

Now we know that;

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

So we get;

[tex]-8x-16=32[/tex]

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

[tex]-8x-16+16=32+16\\\\-8x=48[/tex]

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

[tex]\frac{-8x}{-8}=\frac{48}{-8}\\\\x=-6[/tex]

Hence The Solution is (-6).