How do you solve #3/2 (x+8)=6x#?

1 Answer
Jan 22, 2016

Answer:

Use the distributive property to solve.

Explanation:

The distributive property states that you must multiply the number outside parentheses with each number encompassed within the parentheses.

Example: Simplify 2(x + 4)

= 2x + 8, since we multiplied the 2 with the x and the 2 with the 4

Now let's get to the equation:

First use the distributive property to simplify:

#3/2x# + 12 = 6x

Put the x's together and the non-x's together

#3/2x# - 6x = -12

#-9/2x# = -12

-9x = -24

x = #8/3#

So, the solution is x = #8/3#

Hopefully this helps.