How do you solve #9x - 13= 5x + 11#?

2 Answers
AltairSafir
May 1, 2018

#x=6#

Explanation:

#9x-13=5x+11# |-5x, +13
#9x-5x=11+13#
#4x=24#
#x=6#

Jim G.
May 1, 2018

#x=6#

Explanation:

#"collect terms in x on the left side of the equation and"#
#"numeric values on the right side"#

#"subtract "5x" from both sides"#

#9x-5x-13=cancel(5x)cancel(-5x)+11#

#rArr4x-13=11#

#"add 13 to both sides"#

#4xcancel(-13)cancel(+13)=11+13#

#rArr4x=24#

#"divide both sides by 4"#

#(cancel(4) x)/cancel(4)=24/4#

#rArrx=6#

#color(blue)"As a check"#

Substitute this value into the equation and if both sides are equal then it is the solution.

#"left "=(9xx6)-13=54-13=41#

#"right "=(5xx6)+11=30+11=41#

#rArrx=6" is the solution"#

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