How do you solve #3x-7=2x+1#?

1 Answer
smendyka
Jan 2, 2017

See full explanation below

Explanation:

Step 1) Add and subtract the necessary values to each side of the equation to isolate the #x# terms on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

#3x - 7 - color(red)(2x) + color(blue)(7) = 2x + 1 - color(red)(2x) + color(blue)(7)#

Next group the like terms and then combine the like terms:

#3x - color(red)(2x) - 7 + color(blue)(7) = 2x - color(red)(2x) + 1 + color(blue)(7)#

#3x - color(red)(2x) - 0 = 0 + 1 + color(blue)(7)#

#(3 - 2)x = 8#

#1x = 8#

#x = 8#

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