How do you solve #9x -5 (x-12)=30#?

2 Answers
Nov 6, 2015

Answer:

x=-7.5

Explanation:

Multiply 5 through the parentheses and we get:

9x - 5x + 60 = 30
4x = -30
x = -7.5

Nov 6, 2015

Answer:

Use the distributive property, combine like terms, and use basic operations to isolate #x#.

Explanation:

Starting from #9x - 5(x-12) = 30#:

Apply the distributive property to #5(x-12)# to obtain
#9x - 5x - 5(-12) = 30#

Combining the like terms #9x# and #5x# and multiplying #-5(-12)# gives us
#4x + 60 = 30#

Subtracting #60# from both sides of the equation gives
#4x = -30#

Finally, dividing both sides of the equation by #4# gives
#x = -30/4#

Of course, we want to write the fraction in its reduced form, so
#x = -15/2#