# what is 3/2(x+8)=6x for a class?

I need the answer asap its for an online class

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• Anonymous

First, Distribute 3/2 over x and 8.

3/2x + 12 = 6x

Solve for x. Move 3/2x to the other side.

12 = 6x - 3/2x

12 = 4.5x

divide both sides by 4.5 to get x by itself on one side of the equation.

12/4.5 = x

2.67 = x

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If it is 3 over 2 (x+8) = 6x.

then set up a proportion and cross multiply. Observe.

3/ 2x + 16 = 6x/1

6x(2x +16) = 3

12x^2 + 96x = 3

12 x^2 + 96x - 3 = 0

Use the quadratic formula to solve for x.

-b +/- square root of b^2 - 4ac divided by 2a

-96 +/- square root of 96^2 - 4(12)(-3) divided by 2*12

Use a calculator.

Rounded to the nearest tenth, x is equal to 0.03 or -8.0

• Is this cheating?! lol jk.

First, distribute 3/2 into (x+8). After that, get all the x's onto one side of the equation. So then you'll have only numbers on one side and all the x's on another.

3/2(x+8) = 3/2x + 12

3/2x + 12 = 6x

12 = 6x - 3/2x

12 = 6x - 1.5x

12 = 4.5x

12/4.5 = x

um hopefully there aren't any mistakes in that...

Source(s): math class (: