How do you evaluate # \frac { 3} { 8} ( 2x - 8) = \frac { 1} { 4} x + 9#?

1 Answer
May 16, 2018

Evaluating for x gives us 24.

Explanation:

So let rewrite the equation out.

#3/8##(2x-8)# = #1/4#x+9

So we need to simplify this further by distributing the #3/8# to #(2x-8). By doing this, we get:

#3/4##x-3# = #1/4##x+9#

So subtracting #1/4# from both side gives us:

#1/2##x-3=#9

So adding 3 to both sides gives us

#1/2#x = 12

Dividing both side by 12 gives us 24. So x = 24