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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.)

User Simbada
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2 Answers

3 votes

Answer:

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).

User Saarrrr
by
6.7k points
5 votes

Answer:

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.

User Raphael Pinel
by
6.7k points