How do you solve #7x - 5= 6x - 2#?

1 Answer
smendyka
Jan 2, 2017

To solve this problem add and subtract the necessary terms from each side of the equation. See the full explanation below:

Explanation:

To solve this problem we need to subtract #color(red)(6x)# and add #color(blue)(5)# to each side of the equation to determine #x# and keep the equation balanced:

#7x - 5 - color(red)(6x) + color(blue)(5) = 6x - 2 - color(red)(6x) + color(blue)(5)#

Now we can group and combine like terms on each side of the equation:

#7x - color(red)(6x) - 5 + color(blue)(5) = 6x - color(red)(6x) - 2 + color(blue)(5)#

x - 0 = 0 + 3#

#x = 3#

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