How do you solve 8( 12- 2x ) = 5x + 12?

3 Answers

x = 4

Explanation:

Multiply out the brackets

8 xx 12 = 96

8 xx (-2x) = -16x

to give

96 - 16x

on the left side of the equation. Therefore

96 - 16x = 5x + 12

Then rearrange the whole equation to get all the x's on one side of the equation.

Add 16x to both sides of the equation to eliminate the -16x from the left side, and minus 12 from both sides to eliminate the +12 from the right side. This means all the x's are on the left side.

96 - 12 = 5x +16x

84 = 21x

Divide both sides of the equation by 21 to get the x term on its own.

84/21 = (21x)/21

Therefore

x = 4

In order to ensure the x term is correct, be sure to sub it back into the original equation to make sure it works.

Jun 17, 2018

By opening up the bracket

Explanation:

8(12-2x)=5x+12

96-16x=5x+12

So

21x=84

x=4

Jun 17, 2018

Simplifying for x gives us: 4

Explanation:

To start solving this, we need to distribute the 8 to the left side of the equal sign to simplify it.

So distributing the 8 on the left side, gives us: 96-16x

So we have 96-16x=5x+12

We can do a couple of things of subtracting x on both sides or numbers on both sides. Let's subtract 5x from both sides which gives us:

96-21x=12

Now, let subtract 96 to both sides which gives us:

-21x=-84

We can divide both sides by -21 which gives us: 4.