How do you solve #0.8( x - 8) = 6.4#?

2 Answers
Mar 8, 2018

Answer:

#x=16#

Explanation:

Given
#color(white)("XXX")0.8(x-8)=6.4#

Multiply both sides by #10#
then divide both sides by #8#
(these steps could be combined as divide both sides by #0.8#)
#color(white)("XXX")8(x-8)=64#
#color(white)("XXX")(x-8)=8#

Add #8# to both sides
#color(white)("XXX")x=16#

Mar 8, 2018

Answer:

#x = 16#

Explanation:

Firstly, expand out the bracket.

#0.8(x - 8) = 6.4#

#0.8x - (0.8 * 8) = 6.4#

#0.8x - 6.4 = 6.4 #

Next, add #6.4# to both sides

#0.8x - 6.4 + 6.4 = 6.4 + 6.4#

# 0.8x = 12.8 #

Now, divide both sides by #0.8#

# (0.8 x)/0.8 = (12.8/0.8)#

#x = 16#