How do you solve #-2/3(6/5x - 7/10) = 17/20#?

1 Answer
Jun 16, 2016

Answer:

#x=-23/48#

Explanation:

Multiply both sides of the equation by #-3/2#
The equation becomes #(6/5 x- 7/10) = 17/20 xx -3/2#
#6/5x-7/10=-51/40#

Add #7/10# to both sides
#6/5x = -51/40 + 7/10#

Find common denominator to add fractions:
#6/5x = -51/40 + 28/40#

#6/5x=-23/40#

Multiply both sides by reciprocal of #6/5#
#x=-23/40 xx 5/6#

#x=-23/48#