Question

What is the value of x that makes the given equation true? ​2(x−8)=x+5x

Answer 1

x = -4

Explanation:

To find the value of x that makes a certain equation true means to solve the equation. You do this by rearranging the equation to make x the subject.

So,

2(x-8) = x+5x

2x - 16 = 6x

-16 = 6x-2x

4x = -16

x = -4

Hope this helps.

Answer 2

First simplify the right side by combining like terms.

Since both terms contain an x, you can add them together.

So x + 5x simplifies to 6x.

So our equation now reads 2(x - 8) = 6x.

Solving from here, distribute the 2 through the

parentheses on the left side of the equation.

2(x) is 2x and 2(-8) is -16.

So we have 2x - 16 = 6x.

Now move the 2x to the right side by subtracting 2x from both sides.

This gives us -16 = 4x.

Now just divide both sides by 4 to get -4 = x.