How do you solve # 5(2x-3)+8=9#?

1 Answer
Jun 29, 2018

Answer:

#x = 1.6#

Explanation:

#5(2x-3) + 8 = 9#

First, subtract #color(blue)8# from both sides of the equation:
#5(2x-3) + 8 quadcolor(blue)(-quad8) = 9 quadcolor(blue)(-quad8)#

#5(2x-3) = 1#

Now use the distributive property (shown below) to simplify the left hand side:
cdn.virtualnerd.com

Following this image, we know that:
#color(blue)(5(2x-3) = (5 * 2x) + (5 * -3) = 10x - 15)#

Put that back into the equation:
#10x - 15 = 1#

Add #color(blue)15# to both sides:
#10x - 15 quadcolor(blue)(+quad15) = 1 quadcolor(blue)(+quad15)#

#10x = 16#

Divide both sides by #color(blue)10#:
#(10x)/color(blue)10 = 16/color(blue)10#

Therefore,
#x = 1.6#

Hope this helps!