What is the value of x? (thanks!)

2x+2=3x-63

2 Answers
Jacob · Jumbotron
Nov 27, 2017

#x=65#

Explanation:

#2x+2=3x-63#

Firstly, we can subtract #2x# from both sides of the equation:

#2x+2-2x=3x-63-2x#

Which gives:

#2=x-63#

We can then add #63# to both sides also:

#2+63=x-63+63#

Which gives:

#65=x#

Jim G.
Nov 27, 2017

#x=65#

Explanation:

#"collect x terms on one side of the equation and"#
#"numeric values on the other side"#

#"subtract 2x from both sides"#

#cancel(2x)cancel(-2x)+2=3x-2x-63#

#rArr2=x-63#

#"add 63 to both sides"#

#2+63=xcancel(-63)cancel(+63)#

#rArr65=xtox=65#

#color(blue)"As a check"#

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

#"left "=(2xx65)+2=130+2=132#

#"right "=(3xx65)-63=195-63=132#

#rArrx=65" is the solution"#

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