How do you solve #26= 4x + 6( 2x - 17)#?

2 Answers
harsh s.
Aug 13, 2017

see below

Explanation:

#26 = 4x+6(2x-17)#

#=>26=4x+12x-102#

#=>128=16x#

#=>x=128/16=8#

Jim G.
Aug 13, 2017

#x=8#

Explanation:

#"distribute the bracket on the right side and simplify"#

#rArr26=4x+12x-102#

#rArr26=16x-102#

#"add 102 to both sides"#

#26+102=16xcancel(-102)cancel(+102)#

#rArr16x=128larrcolor(blue)" reversing the equation"#

#"divide both sides by 16"#

#(cancel(16) x)/cancel(16)=128/16#

#rArrx=8#

#color(blue)"As a check"#

Substitute this value into the right side of the equation and if equal to the left side then it is the solution.

#(4xx8)+6(16-17)=32-6=26=" left side"#

#rArrx=8" is the solution"#

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