How do you solve # 8(2f - 2) = 7(3f + 2) #?

Question

3519 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-20T01:37:01

The final answer is #-6=f#.

#8(2f-2)=7(3f+2)#

#(8*2f)+(8*-2)=(7*3f)+(7*2)-># Expand both sides by using the Distributive Property.

#16f-16=21f+14#

#cancelcolor(red)(16f)-16cancelcolor(red)(-16f)=cancel(21fcolor(red)(-16f))5f+14-># Subtract #16f# from both sides.

#cancel(-16color(blue)(-14))-30=5fcancelcolor(blue)(+14)cancelcolor(blue)(-14)-># Subtract #14# from both sides.

#cancel(-30color(green)(/5))-6=cancelcolor(green)(5)fcancelcolor(green)(/5)-># Divide both sides by 5.

#-6=f-># Final answer!