How do you solve #17\frac { 5} { 8} = - 2( x + 15)#?

Question

712 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-15T04:45:33

#x=-23 13/16#

#17 5/8=-2(x+15)#

Convert the mixed fraction on the left to an improper fraction.

#141/8=-2(x+15)#

Multiply both sides by #8#.

#141=-16(x+15)#

Open the brackets and simplify; the product of a negative and a positive is a negative.

#141=-16x-240#

Add #16x# to both sides.

#16x+141=-240#

Subtract #141# from both sides.

#16x=-240-141#

#16x=-(240+141)#

#16x=-381#

Divide both sides by #16#.

#x=-381/16#

#x=-23 13/16#