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Solve the equation -4(2+x)=8?
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Solve the equation -4(2+x)=8?
Solving the equation -4(2 x)=8


To solve the equation -4(2 x)=8, we need to follow these steps:



  1. Use the distributive property to simplify the left side of the equation

  2. Combine like terms on the left side of the equation

  3. Divide both sides of the equation by the coefficient of x



Step 1: Use the distributive property to simplify the left side of the equation


The distributive property states that a(b + c) = ab + ac. Using this property, we can simplify -4(2 x) as follows:


-4(2 x) = -4 * 2 * x = -8x


Step 2: Combine like terms on the left side of the equation


Now that we have simplified the left side of the equation, we can combine like terms to get:


-8x = 8


Step 3: Divide both sides of the equation by the coefficient of x


Finally, we can solve for x by dividing both sides of the equation by -8:


x = -1


Conclusion


The solution to the equation -4(2 x)=8 is x = -1. This means that if we substitute x = -1 back into the original equation, we get:


-4(2 x) = -4(2 * -1) = 8


So x = -1 is indeed a solution to the equation.
Community Answer
Solve the equation -4(2+x)=8?
-4(2+x)=8
=-8+(-4x)=8
=-8-4x=8
=-4x =8+8
=-4x =16
=x = 16÷4
=x = 4
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Solve the equation -4(2+x)=8?
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