How do you solve # 5x - 3 = 13 - 3x #?

1 Answer
May 29, 2018

Answer:

#x=2#

Explanation:

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

#"add "3x" to both sides"#

#5x+3x-3=13cancel(-3x)cancel(+3x)#

#8x-3=13#

#"add 3 to both sides"#

#8xcancel(-3)cancel(+3)=13+3#

#8x=16#

#"divide both sides by 8"#

#(cancel(8) x)/cancel(8)=16/8rArrx=2#

#color(blue)"As a check"#

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

#"left "=(5xx2)-3=10-3=7#

#"right "=13-(3xx2)=13-6=7#

#x=2" is the solution"#