How do you solve #4x - ( x - 1) = 2x + 7#?

1 Answer
smendyka
Dec 1, 2016

#x = 6#

Explanation:

First, expand the terms in parenthesis and combine like terms on the right side of the equation. Remember to mind the signs when expanding the parenthesis:

#4x - x + 1 = 2x + 7#

#(4 - 1)x + 1 = 2x + 7#

#3x + 1 = 2x + 7#

Now, do the necessary math on the equation to isolate the #x# term on one side of the equation and the constants on the other side while keeping the equation balanced:

#3x + 1 - 1 - 2x = 2x + 7 - 1 - 2x#

#3x - 2x + 0 = 7 - 1 + 0#

#(3 - 2)x = 6#

#1x = 6#

#x = 6#

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